nanoCoP---2.0.THM-Prf.s

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SCT147+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:51:37 EDT 2023

% Result   : Theorem 1.47s 2.42s
% Output   : Proof 1.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SCT147+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 15:37:45 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 1.47/2.42  
% 1.47/2.42  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.47/2.42  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.47/2.42  %-----------------------------------------------------
% 1.47/2.42  ncf(matrix, plain, [(6331 ^ _82980) ^ [] : [6332 ^ _82980 : [(6333 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 6329 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))))], (6335 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, 6329 ^ [])))]], 6336 ^ _82980 : [(6337 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, 6329 ^ []))))], (6339 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 6329 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))]]], (2 ^ _82980) ^ [_83010] : [-(_83010 = _83010)], (4 ^ _82980) ^ [_83033, _83035] : [_83035 = _83033, -(_83033 = _83035)], (10 ^ _82980) ^ [_83106, _83108, _83110] : [-(_83110 = _83106), _83110 = _83108, _83108 = _83106], (20 ^ _82980) ^ [_83243, _83245, _83247, _83249] : [-(c_Nitpick_Orefl_H(_83247, _83243)), c_Nitpick_Orefl_H(_83249, _83245), _83249 = _83247, _83245 = _83243], (34 ^ _82980) ^ [_83436, _83438, _83440, _83442] : [-(c_Arrow__Order__Mirabelle_Odictator(_83440, _83436)), c_Arrow__Order__Mirabelle_Odictator(_83442, _83438), _83442 = _83440, _83438 = _83436], (48 ^ _82980) ^ [_83629, _83631] : [-(c_Arrow__Order__Mirabelle_Ounanimity(_83629)), _83631 = _83629, c_Arrow__Order__Mirabelle_Ounanimity(_83631)], (58 ^ _82980) ^ [_83754, _83756] : [-(c_Arrow__Order__Mirabelle_OIIA(_83754)), _83756 = _83754, c_Arrow__Order__Mirabelle_OIIA(_83756)], (68 ^ _82980) ^ [_83879, _83881, _83883, _83885, _83887, _83889, _83891, _83893] : [-(c_Predicate_ODomainP(_83891, _83887, _83883, _83879)), c_Predicate_ODomainP(_83893, _83889, _83885, _83881), _83893 = _83891, _83889 = _83887, _83885 = _83883, _83881 = _83879], (90 ^ _82980) ^ [_84232, _84234, _84236, _84238] : [-(c_Relation_Oirrefl(_84236, _84232)), c_Relation_Oirrefl(_84238, _84234), _84238 = _84236, _84234 = _84232], (104 ^ _82980) ^ [_84425, _84427, _84429, _84431, _84433, _84435, _84437, _84439] : [-(c_Predicate_ORangeP(_84437, _84433, _84429, _84425)), c_Predicate_ORangeP(_84439, _84435, _84431, _84427), _84439 = _84437, _84435 = _84433, _84431 = _84429, _84427 = _84425], (126 ^ _82980) ^ [_84778, _84780, _84782, _84784, _84786, _84788] : [-(c_Relation_Ototal__on(_84786, _84782, _84778)), c_Relation_Ototal__on(_84788, _84784, _84780), _84788 = _84786, _84784 = _84782, _84780 = _84778], (144 ^ _82980) ^ [_85047, _85049, _85051, _85053, _85055, _85057] : [-(c_Relation_Orefl__on(_85055, _85051, _85047)), c_Relation_Orefl__on(_85057, _85053, _85049), _85057 = _85055, _85053 = _85051, _85049 = _85047], (162 ^ _82980) ^ [_85316, _85318, _85320, _85322, _85324, _85326, _85328, _85330] : [-(c_Recdef_Oadm__wf(_85328, _85324, _85320, _85316)), c_Recdef_Oadm__wf(_85330, _85326, _85322, _85318), _85330 = _85328, _85326 = _85324, _85322 = _85320, _85318 = _85316], (184 ^ _82980) ^ [_85669, _85671, _85673, _85675] : [-(c_Wellfounded_Oacyclic(_85673, _85669)), c_Wellfounded_Oacyclic(_85675, _85671), _85675 = _85673, _85671 = _85669], (198 ^ _82980) ^ [_85862, _85864, _85866, _85868] : [-(c_Relation_Oantisym(_85866, _85862)), c_Relation_Oantisym(_85868, _85864), _85868 = _85866, _85864 = _85862], (212 ^ _82980) ^ [_86055, _86057, _86059, _86061] : [-(c_Wellfounded_OwfP(_86059, _86055)), c_Wellfounded_OwfP(_86061, _86057), _86061 = _86059, _86057 = _86055], (226 ^ _82980) ^ [_86248, _86250, _86252, _86254, _86256, _86258] : [-(c_Orderings_Oord__class_Oless(_86256, _86252, _86248)), c_Orderings_Oord__class_Oless(_86258, _86254, _86250), _86258 = _86256, _86254 = _86252, _86250 = _86248], (244 ^ _82980) ^ [_86517, _86519, _86521, _86523, _86525, _86527] : [-(c_Orderings_Oord__class_Oless__eq(_86525, _86521, _86517)), c_Orderings_Oord__class_Oless__eq(_86527, _86523, _86519), _86527 = _86525, _86523 = _86521, _86519 = _86517], (262 ^ _82980) ^ [_86786, _86788, _86790, _86792] : [-(c_FunDef_Oreduction__pair(_86790, _86786)), c_FunDef_Oreduction__pair(_86792, _86788), _86792 = _86790, _86788 = _86786], (276 ^ _82980) ^ [_86979, _86981, _86983, _86985, _86987, _86989] : [-(c_Relation_Osingle__valued(_86987, _86983, _86979)), c_Relation_Osingle__valued(_86989, _86985, _86981), _86989 = _86987, _86985 = _86983, _86981 = _86979], (294 ^ _82980) ^ [_87248, _87250, _87252, _87254] : [-(c_Wellfounded_Owf(_87252, _87248)), c_Wellfounded_Owf(_87254, _87250), _87254 = _87252, _87250 = _87248], (308 ^ _82980) ^ [_87441, _87443] : [-(class_Orderings_Olinorder(_87441)), _87443 = _87441, class_Orderings_Olinorder(_87443)], (318 ^ _82980) ^ [_87566, _87568] : [-(class_Lattices_Osemilattice__inf(_87566)), _87568 = _87566, class_Lattices_Osemilattice__inf(_87568)], (328 ^ _82980) ^ [_87691, _87693] : [-(class_Orderings_Opreorder(_87691)), _87693 = _87691, class_Orderings_Opreorder(_87693)], (338 ^ _82980) ^ [_87816, _87818] : [-(class_Lattices_Olattice(_87816)), _87818 = _87816, class_Lattices_Olattice(_87818)], (348 ^ _82980) ^ [_87941, _87943] : [-(class_Orderings_Oorder(_87941)), _87943 = _87941, class_Orderings_Oorder(_87943)], (358 ^ _82980) ^ [_88066, _88068] : [-(class_Orderings_Oord(_88066)), _88068 = _88066, class_Orderings_Oord(_88068)], (368 ^ _82980) ^ [_88187, _88189] : [-(hBOOL(_88187)), _88189 = _88187, hBOOL(_88189)], (378 ^ _82980) ^ [_88388, _88390, _88392, _88394, _88396, _88398, _88400, _88402, _88404, _88406] : [-(c_Product__Type_Oprod_Oprod__rec(_88406, _88402, _88398, _88394, _88390) = c_Product__Type_Oprod_Oprod__rec(_88404, _88400, _88396, _88392, _88388)), _88406 = _88404, _88402 = _88400, _88398 = _88396, _88394 = _88392, _88390 = _88388], (400 ^ _82980) ^ [_88777, _88779, _88781, _88783, _88785, _88787, _88789, _88791, _88793, _88795] : [-(c_Product__Type_Ointernal__split(_88795, _88791, _88787, _88783, _88779) = c_Product__Type_Ointernal__split(_88793, _88789, _88785, _88781, _88777)), _88795 = _88793, _88791 = _88789, _88787 = _88785, _88783 = _88781, _88779 = _88777], (422 ^ _82980) ^ [_89166, _89168, _89170, _89172] : [-(c_Arrow__Order__Mirabelle_Omktop(_89172, _89168) = c_Arrow__Order__Mirabelle_Omktop(_89170, _89166)), _89172 = _89170, _89168 = _89166], (432 ^ _82980) ^ [_89315, _89317, _89319, _89321] : [-(c_Arrow__Order__Mirabelle_Omkbot(_89321, _89317) = c_Arrow__Order__Mirabelle_Omkbot(_89319, _89315)), _89321 = _89319, _89317 = _89315], (442 ^ _82980) ^ [_89464, _89466, _89468, _89470, _89472, _89474] : [-(c_Arrow__Order__Mirabelle_Oabove(_89474, _89470, _89466) = c_Arrow__Order__Mirabelle_Oabove(_89472, _89468, _89464)), _89474 = _89472, _89470 = _89468, _89466 = _89464], (456 ^ _82980) ^ [_89685, _89687, _89689, _89691, _89693, _89695, _89697, _89699, _89701, _89703, _89705, _89707] : [-(c_FuncSet_Ocompose(_89707, _89703, _89699, _89695, _89691, _89687) = c_FuncSet_Ocompose(_89705, _89701, _89697, _89693, _89689, _89685)), _89707 = _89705, _89703 = _89701, _89699 = _89697, _89695 = _89693, _89691 = _89689, _89687 = _89685], (482 ^ _82980) ^ [_90170, _90172, _90174, _90176, _90178, _90180, _90182, _90184] : [-(c_FuncSet_Orestrict(_90184, _90180, _90176, _90172) = c_FuncSet_Orestrict(_90182, _90178, _90174, _90170)), _90184 = _90182, _90180 = _90178, _90176 = _90174, _90172 = _90170], (500 ^ _82980) ^ [_90471, _90473] : [_90473 = _90471, -(c_HOL_Oundefined(_90473) = c_HOL_Oundefined(_90471))], (506 ^ _82980) ^ [_90556, _90558, _90560, _90562, _90564, _90566, _90568, _90570] : [-(c_FuncSet_Oextensional__funcset(_90570, _90566, _90562, _90558) = c_FuncSet_Oextensional__funcset(_90568, _90564, _90560, _90556)), _90570 = _90568, _90566 = _90564, _90562 = _90560, _90558 = _90556], (524 ^ _82980) ^ [_90857, _90859, _90861, _90863] : [-(c_Relation_OId__on(_90863, _90859) = c_Relation_OId__on(_90861, _90857)), _90863 = _90861, _90859 = _90857], (534 ^ _82980) ^ [_91006, _91008, _91010, _91012, _91014, _91016, _91018, _91020, _91022, _91024] : [-(c_Fun_Ofun__upd(_91024, _91020, _91016, _91012, _91008) = c_Fun_Ofun__upd(_91022, _91018, _91014, _91010, _91006)), _91024 = _91022, _91020 = _91018, _91016 = _91014, _91012 = _91010, _91008 = _91006], (556 ^ _82980) ^ [_91395, _91397, _91399, _91401, _91403, _91405, _91407, _91409] : [-(c_Recdef_Owfrec(_91409, _91405, _91401, _91397) = c_Recdef_Owfrec(_91407, _91403, _91399, _91395)), _91409 = _91407, _91405 = _91403, _91401 = _91399, _91397 = _91395], (574 ^ _82980) ^ [_91696, _91698, _91700, _91702, _91704, _91706, _91708, _91710] : [-(c_Recdef_Osame__fst(_91710, _91706, _91702, _91698) = c_Recdef_Osame__fst(_91708, _91704, _91700, _91696)), _91710 = _91708, _91706 = _91704, _91702 = _91700, _91698 = _91696], (592 ^ _82980) ^ [_91997, _91999, _92001, _92003, _92005, _92007, _92009, _92011, _92013, _92015] : [-(c_Nitpick_Owfrec_H(_92015, _92011, _92007, _92003, _91999) = c_Nitpick_Owfrec_H(_92013, _92009, _92005, _92001, _91997)), _92015 = _92013, _92011 = _92009, _92007 = _92005, _92003 = _92001, _91999 = _91997], (614 ^ _82980) ^ [_92386, _92388, _92390, _92392, _92394, _92396, _92398, _92400, _92402, _92404] : [-(c_Recdef_Owfrec__rel(_92404, _92400, _92396, _92392, _92388) = c_Recdef_Owfrec__rel(_92402, _92398, _92394, _92390, _92386)), _92404 = _92402, _92400 = _92398, _92396 = _92394, _92392 = _92390, _92388 = _92386], (636 ^ _82980) ^ [_92775, _92777, _92779, _92781, _92783, _92785, _92787, _92789, _92791, _92793] : [-(c_Nitpick_Owf__wfrec_H(_92793, _92789, _92785, _92781, _92777) = c_Nitpick_Owf__wfrec_H(_92791, _92787, _92783, _92779, _92775)), _92793 = _92791, _92789 = _92787, _92785 = _92783, _92781 = _92779, _92777 = _92775], (658 ^ _82980) ^ [_93164, _93166, _93168, _93170] : [-(c_Recdef_Ocut(_93170, _93166) = c_Recdef_Ocut(_93168, _93164)), _93170 = _93168, _93166 = _93164], (668 ^ _82980) ^ [_93313, _93315, _93317, _93319, _93321, _93323, _93325, _93327] : [-(c_Nitpick_Owf__wfrec(_93327, _93323, _93319, _93315) = c_Nitpick_Owf__wfrec(_93325, _93321, _93317, _93313)), _93327 = _93325, _93323 = _93321, _93319 = _93317, _93315 = _93313], (686 ^ _82980) ^ [_93614, _93616, _93618, _93620] : [-(c_Transitive__Closure_Otranclp(_93620, _93616) = c_Transitive__Closure_Otranclp(_93618, _93614)), _93620 = _93618, _93616 = _93614], (696 ^ _82980) ^ [_93763, _93765, _93767, _93769, _93771, _93773] : [-(c_FunDef_Oin__rel(_93773, _93769, _93765) = c_FunDef_Oin__rel(_93771, _93767, _93763)), _93773 = _93771, _93769 = _93767, _93765 = _93763], (710 ^ _82980) ^ [_93984, _93986, _93988, _93990, _93992, _93994, _93996, _93998, _94000, _94002] : [-(c_Fun_Othe__inv__into(_94002, _93998, _93994, _93990, _93986) = c_Fun_Othe__inv__into(_94000, _93996, _93992, _93988, _93984)), _94002 = _94000, _93998 = _93996, _93994 = _93992, _93990 = _93988, _93986 = _93984], (732 ^ _82980) ^ [_94373, _94375, _94377, _94379] : [-(c_HOL_OThe(_94379, _94375) = c_HOL_OThe(_94377, _94373)), _94379 = _94377, _94375 = _94373], (742 ^ _82980) ^ [_94522, _94524] : [_94524 = _94522, -(c_Wellfounded_Omeasure(_94524) = c_Wellfounded_Omeasure(_94522))], (748 ^ _82980) ^ [_94607, _94609, _94611, _94613, _94615, _94617, _94619, _94621, _94623, _94625, _94627, _94629] : [-(c_Fun_Ooverride__on(_94629, _94625, _94621, _94617, _94613, _94609) = c_Fun_Ooverride__on(_94627, _94623, _94619, _94615, _94611, _94607)), _94629 = _94627, _94625 = _94623, _94621 = _94619, _94617 = _94615, _94613 = _94611, _94609 = _94607], (774 ^ _82980) ^ [_95092, _95094, _95096, _95098, _95100, _95102, _95104, _95106] : [-(c_Wellfounded_Olex__prod(_95106, _95102, _95098, _95094) = c_Wellfounded_Olex__prod(_95104, _95100, _95096, _95092)), _95106 = _95104, _95102 = _95100, _95098 = _95096, _95094 = _95092], (792 ^ _82980) ^ [_95393, _95395, _95397, _95399, _95401, _95403] : [-(c_Wellfounded_Omlex__prod(_95403, _95399, _95395) = c_Wellfounded_Omlex__prod(_95401, _95397, _95393)), _95403 = _95401, _95399 = _95397, _95395 = _95393], (806 ^ _82980) ^ [_95614, _95616, _95618, _95620] : [-(c_Wellfounded_Oacc(_95620, _95616) = c_Wellfounded_Oacc(_95618, _95614)), _95620 = _95618, _95616 = _95614], (816 ^ _82980) ^ [_95763, _95765, _95767, _95769, _95771, _95773, _95775, _95777] : [-(c_FuncSet_OPi(_95777, _95773, _95769, _95765) = c_FuncSet_OPi(_95775, _95771, _95767, _95763)), _95777 = _95775, _95773 = _95771, _95769 = _95767, _95765 = _95763], (834 ^ _82980) ^ [_96064, _96066, _96068, _96070] : [-(c_Wellfounded_Oaccp(_96070, _96066) = c_Wellfounded_Oaccp(_96068, _96064)), _96070 = _96068, _96066 = _96064], (844 ^ _82980) ^ [_96213, _96215, _96217, _96219] : [-(c_Transitive__Closure_Ortranclp(_96219, _96215) = c_Transitive__Closure_Ortranclp(_96217, _96213)), _96219 = _96217, _96215 = _96213], (854 ^ _82980) ^ [_96362, _96364, _96366, _96368, _96370, _96372] : [-(c_FuncSet_Oextensional(_96372, _96368, _96364) = c_FuncSet_Oextensional(_96370, _96366, _96362)), _96372 = _96370, _96368 = _96366, _96364 = _96362], (868 ^ _82980) ^ [_96583, _96585, _96587, _96589, _96591, _96593] : [-(c_Relation_ODomain(_96593, _96589, _96585) = c_Relation_ODomain(_96591, _96587, _96583)), _96593 = _96591, _96589 = _96587, _96585 = _96583], (882 ^ _82980) ^ [_96804, _96806, _96808, _96810, _96812, _96814] : [-(c_Lattices_Osemilattice__inf__class_Oinf(_96814, _96810, _96806) = c_Lattices_Osemilattice__inf__class_Oinf(_96812, _96808, _96804)), _96814 = _96812, _96810 = _96808, _96806 = _96804], (896 ^ _82980) ^ [_97025, _97027, _97029, _97031, _97033, _97035] : [-(c_Relation_ORange(_97035, _97031, _97027) = c_Relation_ORange(_97033, _97029, _97025)), _97035 = _97033, _97031 = _97029, _97027 = _97025], (910 ^ _82980) ^ [_97246, _97248, _97250, _97252, _97254, _97256] : [-(c_Set_Oinsert(_97256, _97252, _97248) = c_Set_Oinsert(_97254, _97250, _97246)), _97256 = _97254, _97252 = _97250, _97248 = _97246], (924 ^ _82980) ^ [_97467, _97469, _97471, _97473] : [-(c_Wellfounded_Omin__ext(_97473, _97469) = c_Wellfounded_Omin__ext(_97471, _97467)), _97473 = _97471, _97469 = _97467], (934 ^ _82980) ^ [_97616, _97618, _97620, _97622] : [-(c_FunDef_Orp__inv__image(_97622, _97618) = c_FunDef_Orp__inv__image(_97620, _97616)), _97622 = _97620, _97618 = _97616], (944 ^ _82980) ^ [_97765, _97767, _97769, _97771] : [-(c_Relation_Oinv__image(_97771, _97767) = c_Relation_Oinv__image(_97769, _97765)), _97771 = _97769, _97767 = _97765], (954 ^ _82980) ^ [_97914, _97916, _97918, _97920] : [-(c_Transitive__Closure_Otrancl(_97920, _97916) = c_Transitive__Closure_Otrancl(_97918, _97914)), _97920 = _97918, _97916 = _97914], (964 ^ _82980) ^ [_98063, _98065, _98067, _98069] : [-(c_Transitive__Closure_Ortrancl(_98069, _98065) = c_Transitive__Closure_Ortrancl(_98067, _98063)), _98069 = _98067, _98065 = _98063], (974 ^ _82980) ^ [_98212, _98214, _98216, _98218, _98220, _98222, _98224, _98226] : [-(c_Product__Type_Ocurry(_98226, _98222, _98218, _98214) = c_Product__Type_Ocurry(_98224, _98220, _98216, _98212)), _98226 = _98224, _98222 = _98220, _98218 = _98216, _98214 = _98212], (992 ^ _82980) ^ [_98513, _98515, _98517, _98519, _98521, _98523, _98525, _98527] : [-(c_Product__Type_Oprod_Oprod__case(_98527, _98523, _98519, _98515) = c_Product__Type_Oprod_Oprod__case(_98525, _98521, _98517, _98513)), _98527 = _98525, _98523 = _98521, _98519 = _98517, _98515 = _98513], (1010 ^ _82980) ^ [_98814, _98816, _98818, _98820, _98822, _98824, _98826, _98828, _98830, _98832] : [-(c_Relation_Orel__comp(_98832, _98828, _98824, _98820, _98816) = c_Relation_Orel__comp(_98830, _98826, _98822, _98818, _98814)), _98832 = _98830, _98828 = _98826, _98824 = _98822, _98820 = _98818, _98816 = _98814], (1032 ^ _82980) ^ [_99203, _99205, _99207, _99209] : [-(tc_fun(_99209, _99205) = tc_fun(_99207, _99203)), _99209 = _99207, _99205 = _99203], (1042 ^ _82980) ^ [_99352, _99354] : [_99354 = _99352, -(c_COMBI(_99354) = c_COMBI(_99352))], (1048 ^ _82980) ^ [_99437, _99439, _99441, _99443, _99445, _99447] : [-(c_COMBK(_99447, _99443, _99439) = c_COMBK(_99445, _99441, _99437)), _99447 = _99445, _99443 = _99441, _99439 = _99437], (1062 ^ _82980) ^ [_99658, _99660, _99662, _99664, _99666, _99668] : [-(c_COMBB(_99668, _99664, _99660) = c_COMBB(_99666, _99662, _99658)), _99668 = _99666, _99664 = _99662, _99660 = _99658], (1076 ^ _82980) ^ [_99879, _99881, _99883, _99885, _99887, _99889] : [-(c_COMBC(_99889, _99885, _99881) = c_COMBC(_99887, _99883, _99879)), _99889 = _99887, _99885 = _99883, _99881 = _99879], (1090 ^ _82980) ^ [_100100, _100102, _100104, _100106, _100108, _100110] : [-(c_COMBS(_100110, _100106, _100102) = c_COMBS(_100108, _100104, _100100)), _100110 = _100108, _100106 = _100104, _100102 = _100100], (1104 ^ _82980) ^ [_100321, _100323] : [_100323 = _100321, -(c_member(_100323) = c_member(_100321))], (1110 ^ _82980) ^ [_100406, _100408, _100410, _100412] : [-(tc_prod(_100412, _100408) = tc_prod(_100410, _100406)), _100412 = _100410, _100408 = _100406], (1120 ^ _82980) ^ [_100555, _100557, _100559, _100561] : [-(c_Product__Type_OPair(_100561, _100557) = c_Product__Type_OPair(_100559, _100555)), _100561 = _100559, _100557 = _100555], (1130 ^ _82980) ^ [_100700, _100702, _100704, _100706] : [-(hAPP(_100706, _100702) = hAPP(_100704, _100700)), _100706 = _100704, _100702 = _100700], (1140 ^ _82980) ^ [_101106, _101108] : [hAPP(_101106, 1141 ^ [_101106, _101108]) = hAPP(_101108, 1141 ^ [_101106, _101108]), -(_101106 = _101108)], (1147 ^ _82980) ^ [] : [v_a____ = v_b____], (1149 ^ _82980) ^ [_101268] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _101268)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _101268))))], (1155 ^ _82980) ^ [_101413] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _101413))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _101413)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))))], (1161 ^ _82980) ^ [_101576] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _101576))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, _101576))))], (1167 ^ _82980) ^ [_101667] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, _101667))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _101667))))], (1173 ^ _82980) ^ [_101776] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _101776))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _101776)), v_c____), v_b____))))], (1179 ^ _82980) ^ [_101885] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _101885)), v_c____), v_b____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _101885))))], (1185 ^ _82980) ^ [_102012] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _102012)), v_c____), v_b____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _102012)), v_c____), v_b____)), v_b____), v_a____))))], (1191 ^ _82980) ^ [_102157] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _102157)), v_c____), v_b____)), v_b____), v_a____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _102157)), v_c____), v_b____))))], (1197 ^ _82980) ^ [_102320] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _102320)), v_c____), v_b____)), v_b____), v_a____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _102320)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))))], (1203 ^ _82980) ^ [_102501] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _102501)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _102501)), v_c____), v_b____)), v_b____), v_a____))))], (1209 ^ _82980) ^ [_102688, _102690, _102692, _102694] : [_102688 = _102690, 1214 ^ _82980 : [(1215 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_102692), _102694), _102688)))], (1217 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_102692), _102694), _102690)))]], 1218 ^ _82980 : [(1219 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_102692), _102694), _102688))], (1221 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_102692), _102694), _102690))]]], (1241 ^ _82980) ^ [_103240, _103242, _103244, _103246] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103240), _103242)), c_Arrow__Order__Mirabelle_Omkbot(_103244, _103246)))), -(_103242 = _103246), 1248 ^ _82980 : [(1249 ^ _82980) ^ [] : [-(_103240 = _103246)], (1251 ^ _82980) ^ [] : [-(_103240 = _103242)]], 1252 ^ _82980 : [(1253 ^ _82980) ^ [] : [_103240 = _103246], (1255 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103240), _103242)), _103244))]]], (1223 ^ _82980) ^ [_102972, _102974, _102976, _102978] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102972), _102974)), c_Arrow__Order__Mirabelle_Omkbot(_102976, _102978))), 1226 ^ _82980 : [(1227 ^ _82980) ^ [] : [_102974 = _102978], (1229 ^ _82980) ^ [] : [_102972 = _102978, _102972 = _102974], (1235 ^ _82980) ^ [] : [-(_102972 = _102978), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102972), _102974)), _102976)))]]], (1277 ^ _82980) ^ [_103846, _103848, _103850, _103852] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103846), _103848)), c_Arrow__Order__Mirabelle_Omktop(_103850, _103852)))), -(_103846 = _103852), 1284 ^ _82980 : [(1285 ^ _82980) ^ [] : [-(_103848 = _103852)], (1287 ^ _82980) ^ [] : [-(_103846 = _103848)]], 1288 ^ _82980 : [(1289 ^ _82980) ^ [] : [_103848 = _103852], (1291 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103846), _103848)), _103850))]]], (1259 ^ _82980) ^ [_103578, _103580, _103582, _103584] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103578), _103580)), c_Arrow__Order__Mirabelle_Omktop(_103582, _103584))), 1262 ^ _82980 : [(1263 ^ _82980) ^ [] : [_103578 = _103584], (1265 ^ _82980) ^ [] : [_103580 = _103584, _103578 = _103580], (1271 ^ _82980) ^ [] : [-(_103580 = _103584), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103578), _103580)), _103582)))]]], (1295 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_P_H____), c_Arrow__Order__Mirabelle_OProf)))], (1297 ^ _82980) ^ [_104205, _104207, _104209, _104211, _104213] : [hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_104205, _104207, _104209), _104211), _104213)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_104205, _104207)), hAPP(hAPP(c_Product__Type_OPair(_104205, _104207), _104211), _104213)), _104209)))], (1303 ^ _82980) ^ [_104340, _104342, _104344, _104346, _104348] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_104340, _104342)), hAPP(hAPP(c_Product__Type_OPair(_104340, _104342), _104346), _104348)), _104344)), -(hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_104340, _104342, _104344), _104346), _104348)))], (1309 ^ _82980) ^ [_104481, _104483, _104485, _104487, _104489, _104491, _104493] : [hBOOL(hAPP(_104481, _104483)), hBOOL(hAPP(hAPP(c_member(tc_prod(_104485, _104485)), hAPP(hAPP(c_Product__Type_OPair(_104485, _104485), _104487), _104489)), hAPP(_104491, _104483))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_104493, _104485), tc_prod(_104493, _104485))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_104493, _104485), tc_prod(_104493, _104485)), hAPP(hAPP(c_Product__Type_OPair(_104493, _104485), _104483), _104487)), hAPP(hAPP(c_Product__Type_OPair(_104493, _104485), _104483), _104489))), c_Recdef_Osame__fst(_104493, _104485, _104481, _104491))))], (1319 ^ _82980) ^ [_104801, _104803] : [c_Nitpick_Orefl_H(_104801, _104803), 1322 ^ _82980 : [(1323 ^ _82980) ^ [_104879] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_104801, _104801)), hAPP(hAPP(c_Product__Type_OPair(_104801, _104801), _104879), _104879)), _104803)))]]], (1325 ^ _82980) ^ [_104921, _104923] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_104921, _104921)), hAPP(hAPP(c_Product__Type_OPair(_104921, _104921), 1326 ^ [_104921, _104923]), 1326 ^ [_104921, _104923])), _104923)), -(c_Nitpick_Orefl_H(_104921, _104923))], (1332 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_P____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), 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tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____)))))], (1356 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, 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hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____))), v_a____)), v_c____)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____)))))], (1368 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_P____), c_Arrow__Order__Mirabelle_OProf)))], (1370 ^ _82980) ^ [_105499, _105501, _105503] : [hBOOL(hAPP(_105499, 1371 ^ [_105499, _105501, _105503])), 1374 ^ _82980 : [(1375 ^ _82980) ^ [_105610, _105612] : [-(hBOOL(hAPP(_105499, hAPP(hAPP(c_Product__Type_OPair(_105501, _105503), _105612), _105610))))]]], (1377 ^ _82980) ^ [_105646, _105648, _105650] : [hBOOL(hAPP(_105646, hAPP(hAPP(c_Product__Type_OPair(_105648, _105650), 1378 ^ [_105646, _105648, _105650]), 1379 ^ [_105646, _105648, _105650]))), 1382 ^ _82980 : [(1383 ^ _82980) ^ [_105793] : [-(hBOOL(hAPP(_105646, _105793)))]]], (1385 ^ _82980) ^ [] : [-(c_Arrow__Order__Mirabelle_Ounanimity(v_F))], (1387 ^ _82980) ^ [] : [-(c_Arrow__Order__Mirabelle_OIIA(v_F))], (1389 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____)), c_Arrow__Order__Mirabelle_OProf)))], (1391 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____))), v_a____)), v_c____)), c_Arrow__Order__Mirabelle_OProf)))], (1393 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____)), c_Arrow__Order__Mirabelle_OProf)))], (1395 ^ _82980) ^ [_105914, _105916, _105918, _105920] : [_105914 = _105916, hBOOL(hAPP(hAPP(c_member(_105918), _105916), _105920)), -(hBOOL(hAPP(hAPP(c_member(_105918), _105914), _105920)))], (1405 ^ _82980) ^ [_106079, _106081, _106083, _106085] : [_106079 = _106081, 1408 ^ _82980 : [(1409 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_106083), _106079), _106085)), -(hBOOL(hAPP(hAPP(c_member(_106083), _106081), _106085)))], (1415 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_106083), _106081), _106085)), -(hBOOL(hAPP(hAPP(c_member(_106083), _106079), _106085)))]]], (1421 ^ _82980) ^ [_106340, _106342, _106344, _106346] : [_106340 = _106342, 1424 ^ _82980 : [(1425 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_106344), _106346), _106340)), -(hBOOL(hAPP(hAPP(c_member(_106344), _106346), _106342)))], (1431 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_106344), _106346), _106342)), -(hBOOL(hAPP(hAPP(c_member(_106344), _106346), _106340)))]]], (1437 ^ _82980) ^ [_106619, _106621, _106623] : [hBOOL(hAPP(hAPP(c_member(_106619), _106621), _106623)), -(hBOOL(hAPP(_106623, _106621)))], (1443 ^ _82980) ^ [_106712, _106714, _106716] : [hBOOL(hAPP(_106716, _106714)), -(hBOOL(hAPP(hAPP(c_member(_106712), _106714), _106716)))], (1449 ^ _82980) ^ [_106811, _106813, _106815, _106817, _106819, _106821] : [hAPP(hAPP(c_Product__Type_OPair(_106811, _106813), _106815), _106817) = hAPP(hAPP(c_Product__Type_OPair(_106811, _106813), _106819), _106821), 1452 ^ _82980 : [(1453 ^ _82980) ^ [] : [-(_106815 = _106819)], (1455 ^ _82980) ^ [] : [-(_106817 = _106821)]]], (1457 ^ _82980) ^ [_106989, _106991, _106993, _106995, _106997, _106999] : [hAPP(hAPP(c_Product__Type_OPair(_106989, _106991), _106993), _106995) = hAPP(hAPP(c_Product__Type_OPair(_106989, _106991), _106997), _106999), 1460 ^ _82980 : [(1461 ^ _82980) ^ [] : [-(_106993 = _106997)], (1463 ^ _82980) ^ [] : [-(_106995 = _106999)]]], (1465 ^ _82980) ^ [_107132, _107134, _107136, _107138, _107140, _107142] : [-(hAPP(hAPP(c_Product__Type_OPair(_107132, _107134), _107136), _107138) = hAPP(hAPP(c_Product__Type_OPair(_107132, _107134), _107140), _107142)), _107136 = _107140, _107138 = _107142], (1475 ^ _82980) ^ [_107314, _107316, _107318, _107320, _107322, _107324] : [-(_107314 = _107316), -(_107318 = _107320), -(_107314 = _107320), -(_107316 = _107318), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _107322), c_Arrow__Order__Mirabelle_OProf)), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _107324), c_Arrow__Order__Mirabelle_OProf)), 1503 ^ _82980 : [(1504 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107314), _107316)), hAPP(_107322, 1500 ^ [_107314, _107316, _107318, _107320, _107322, _107324]))))], (1506 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107318), _107320)), hAPP(_107324, 1500 ^ [_107314, _107316, _107318, _107320, _107322, _107324])))]], 1507 ^ _82980 : [(1508 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107318), _107320)), hAPP(_107324, 1500 ^ [_107314, _107316, _107318, _107320, _107322, _107324]))))], (1510 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107314), _107316)), hAPP(_107322, 1500 ^ [_107314, _107316, _107318, _107320, _107322, _107324])))]], hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107314), _107316)), hAPP(v_F, _107322))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107318), _107320)), hAPP(v_F, _107324))))], (1518 ^ _82980) ^ [_108222, _108224, _108226, _108228, _108230, _108232] : [-(_108222 = _108224), -(_108226 = _108228), -(_108222 = _108228), -(_108224 = _108226), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _108230), c_Arrow__Order__Mirabelle_OProf)), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _108232), c_Arrow__Order__Mirabelle_OProf)), 1546 ^ _82980 : [(1547 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108222), _108224)), hAPP(_108230, 1543 ^ [_108222, _108224, _108226, _108228, _108230, _108232]))))], (1549 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108226), _108228)), hAPP(_108232, 1543 ^ [_108222, _108224, _108226, _108228, _108230, _108232])))]], 1550 ^ _82980 : [(1551 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108226), _108228)), hAPP(_108232, 1543 ^ [_108222, _108224, _108226, _108228, _108230, _108232]))))], (1553 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108222), _108224)), hAPP(_108230, 1543 ^ [_108222, _108224, _108226, _108228, _108230, _108232])))]], 1554 ^ _82980 : [(1555 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108222), _108224)), hAPP(v_F, _108230))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108226), _108228)), hAPP(v_F, _108232))))], (1561 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108226), _108228)), hAPP(v_F, _108232))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108222), _108224)), hAPP(v_F, _108230))))]]], (1567 ^ _82980) ^ [_109266, _109268, _109270, _109272] : [hAPP(hAPP(c_COMBC(_109266, tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_fun(_109268, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109268, tc_fun(tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_fun(_109268, tc_HOL_Obool)), _109266), c_COMBC(_109268, tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109268, tc_prod(_109266, _109268)), tc_fun(_109268, tc_fun(tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_HOL_Obool)), _109266), hAPP(c_COMBB(tc_prod(_109266, _109268), tc_fun(tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_HOL_Obool), _109268), c_member(tc_prod(_109266, _109268)))), c_Product__Type_OPair(_109266, _109268)))), _109270) = hAPP(hAPP(c_COMBC(_109266, tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_fun(_109268, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109268, tc_fun(tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_fun(_109268, tc_HOL_Obool)), _109266), c_COMBC(_109268, tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109268, tc_prod(_109266, _109268)), tc_fun(_109268, tc_fun(tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_HOL_Obool)), _109266), hAPP(c_COMBB(tc_prod(_109266, _109268), tc_fun(tc_fun(tc_prod(_109266, _109268), tc_HOL_Obool), tc_HOL_Obool), _109268), c_member(tc_prod(_109266, _109268)))), c_Product__Type_OPair(_109266, _109268)))), _109272), -(_109270 = _109272)], (1573 ^ _82980) ^ [_109815, _109817, _109819, _109821] : [_109819 = _109821, -(hAPP(hAPP(c_COMBC(_109815, tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_fun(_109817, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109817, tc_fun(tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_fun(_109817, tc_HOL_Obool)), _109815), c_COMBC(_109817, tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109817, tc_prod(_109815, _109817)), tc_fun(_109817, tc_fun(tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_HOL_Obool)), _109815), hAPP(c_COMBB(tc_prod(_109815, _109817), tc_fun(tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_HOL_Obool), _109817), c_member(tc_prod(_109815, _109817)))), c_Product__Type_OPair(_109815, _109817)))), _109819) = hAPP(hAPP(c_COMBC(_109815, tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_fun(_109817, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109817, tc_fun(tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_fun(_109817, tc_HOL_Obool)), _109815), c_COMBC(_109817, tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109817, tc_prod(_109815, _109817)), tc_fun(_109817, tc_fun(tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_HOL_Obool)), _109815), hAPP(c_COMBB(tc_prod(_109815, _109817), tc_fun(tc_fun(tc_prod(_109815, _109817), tc_HOL_Obool), tc_HOL_Obool), _109817), c_member(tc_prod(_109815, _109817)))), c_Product__Type_OPair(_109815, _109817)))), _109821))], (1579 ^ _82980) ^ [_110370, _110372, _110374, _110376, _110378, _110380] : [-(c_Product__Type_Oprod_Oprod__rec(_110370, _110372, _110374, _110376, hAPP(hAPP(c_Product__Type_OPair(_110370, _110372), _110378), _110380)) = hAPP(hAPP(_110376, _110378), _110380))], (1581 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_F), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))))], (1583 ^ _82980) ^ [_110475, _110477, _110479, _110481, _110483, _110485, _110487, _110489] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_110475, _110477), tc_prod(_110475, _110477))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_110475, _110477), tc_prod(_110475, _110477)), hAPP(hAPP(c_Product__Type_OPair(_110475, _110477), _110479), _110481)), hAPP(hAPP(c_Product__Type_OPair(_110475, _110477), _110483), _110485))), c_Wellfounded_Olex__prod(_110475, _110477, _110487, _110489))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_110475, _110475)), hAPP(hAPP(c_Product__Type_OPair(_110475, _110475), _110479), _110483)), _110487))), 1590 ^ _82980 : [(1591 ^ _82980) ^ [] : [-(_110479 = _110483)], (1593 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_110477, _110477)), hAPP(hAPP(c_Product__Type_OPair(_110477, _110477), _110481), _110485)), _110489)))]]], (1595 ^ _82980) ^ [_110800, _110802, _110804, _110806, _110808, _110810, _110812, _110814] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_110800, _110802), tc_prod(_110800, _110802))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_110800, _110802), tc_prod(_110800, _110802)), hAPP(hAPP(c_Product__Type_OPair(_110800, _110802), _110804), _110806)), hAPP(hAPP(c_Product__Type_OPair(_110800, _110802), _110808), _110810))), c_Wellfounded_Olex__prod(_110800, _110802, _110812, _110814)))), 1596 ^ _82980 : [(1597 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_110800, _110800)), hAPP(hAPP(c_Product__Type_OPair(_110800, _110800), _110804), _110808)), _110812))], (1599 ^ _82980) ^ [] : [_110804 = _110808, hBOOL(hAPP(hAPP(c_member(tc_prod(_110802, _110802)), hAPP(hAPP(c_Product__Type_OPair(_110802, _110802), _110806), _110810)), _110814))]]], (1617 ^ _82980) ^ [_111365, _111367] : [1619 ^ _82980 : [(1620 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), 1618 ^ [_111365, _111367]), c_Arrow__Order__Mirabelle_OProf)))], (1622 ^ _82980) ^ [] : [hAPP(_111365, 1618 ^ [_111365, _111367]) = hAPP(1618 ^ [_111365, _111367], _111367)]], -(c_Arrow__Order__Mirabelle_Odictator(_111365, _111367))], (1607 ^ _82980) ^ [_111190, _111192] : [c_Arrow__Order__Mirabelle_Odictator(_111190, _111192), 1610 ^ _82980 : [(1611 ^ _82980) ^ [_111264] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _111264), c_Arrow__Order__Mirabelle_OProf)), -(hAPP(_111190, _111264) = hAPP(_111264, _111192))]]], (1626 ^ _82980) ^ [_111541, _111543, _111545, _111547, _111549] : [-(_111541 = _111543), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _111545), c_Arrow__Order__Mirabelle_OLin)), 1633 ^ _82980 : [(1666 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111547), _111549)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, _111545), _111541), _111543)))), -(_111547 = _111549), 1673 ^ _82980 : [(1674 ^ _82980) ^ [] : [-(_111549 = _111541)], (1676 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111547), _111543)), _111545))]], 1677 ^ _82980 : [(1678 ^ _82980) ^ [] : [_111549 = _111541], (1680 ^ _82980) ^ [] : [1681 ^ _82980 : [(1682 ^ _82980) ^ [] : [-(_111547 = _111541)], (1684 ^ _82980) ^ [] : [_111549 = _111543], (1686 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111543), _111549)), _111545))]], 1687 ^ _82980 : [(1688 ^ _82980) ^ [] : [_111547 = _111541], (1690 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111547), _111549)), _111545))]]]]], (1634 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111547), _111549)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, _111545), _111541), _111543))), 1637 ^ _82980 : [(1638 ^ _82980) ^ [] : [_111547 = _111549], (1640 ^ _82980) ^ [] : [_111549 = _111541, -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111547), _111543)), _111545)))], (1646 ^ _82980) ^ [] : [-(_111549 = _111541), 1649 ^ _82980 : [(1660 ^ _82980) ^ [] : [-(_111547 = _111541), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111547), _111549)), _111545)))], (1650 ^ _82980) ^ [] : [_111547 = _111541, -(_111549 = _111543), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111543), _111549)), _111545)))]]]]]]], (1694 ^ _82980) ^ [_112599, _112601, _112603, _112605, _112607, _112609] : [-(c_Product__Type_Ointernal__split(_112599, _112601, _112603, _112605, hAPP(hAPP(c_Product__Type_OPair(_112599, _112601), _112607), _112609)) = hAPP(hAPP(_112605, _112607), _112609))], (1696 ^ _82980) ^ [_112653] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _112653), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, _112653)), c_Arrow__Order__Mirabelle_OProf)))], (1702 ^ _82980) ^ [_112774, _112776, _112778] : [hAPP(hAPP(c_COMBC(_112774, tc_fun(_112774, tc_HOL_Obool), tc_HOL_Obool), c_member(_112774)), _112776) = hAPP(hAPP(c_COMBC(_112774, tc_fun(_112774, tc_HOL_Obool), tc_HOL_Obool), c_member(_112774)), _112778), -(_112776 = _112778)], (1708 ^ _82980) ^ [_112909, _112911, _112913] : [_112911 = _112913, -(hAPP(hAPP(c_COMBC(_112909, tc_fun(_112909, tc_HOL_Obool), tc_HOL_Obool), c_member(_112909)), _112911) = hAPP(hAPP(c_COMBC(_112909, tc_fun(_112909, tc_HOL_Obool), tc_HOL_Obool), c_member(_112909)), _112913))], (1714 ^ _82980) ^ [_113049, _113051, _113053] : [-(_113049 = _113051), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _113053), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, _113053), _113049), _113051)), c_Arrow__Order__Mirabelle_OLin)))], (1724 ^ _82980) ^ [_113218, _113220] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _113218), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Omktop(_113218, _113220)), c_Arrow__Order__Mirabelle_OLin)))], (1730 ^ _82980) ^ [_113321, _113323] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _113321), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Omkbot(_113321, _113323)), c_Arrow__Order__Mirabelle_OLin)))], (1736 ^ _82980) ^ [_113442, _113444, _113446] : [hBOOL(hAPP(hAPP(c_member(_113442), _113444), hAPP(c_fequal, _113446))), -(_113444 = _113446)], (1742 ^ _82980) ^ [_113537, _113539, _113541] : [_113539 = _113541, -(hBOOL(hAPP(hAPP(c_member(_113537), _113539), hAPP(c_fequal, _113541))))], (1748 ^ _82980) ^ [_113638, _113640, _113642] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _113638), c_Arrow__Order__Mirabelle_OLin)), -(_113640 = _113642), 1755 ^ _82980 : [(1756 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _113640), _113642)), _113638))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _113642), _113640)), _113638)))], (1762 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _113642), _113640)), _113638)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _113640), _113642)), _113638))]]], (1768 ^ _82980) ^ [_113940, _113942, _113944] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _113940), c_Arrow__Order__Mirabelle_OLin)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _113942), _113944)), _113940)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _113944), _113942)), _113940))], (1778 ^ _82980) ^ [_114128, _114130, _114132, _114134, _114136, _114138] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_114128, _114130)), _114132), c_FuncSet_OPi(_114128, _114130, _114134, _114136))), -(hBOOL(hAPP(hAPP(c_member(_114130), hAPP(_114132, _114138)), hAPP(_114136, _114138)))), hBOOL(hAPP(hAPP(c_member(_114128), _114138), _114134))], (1788 ^ _82980) ^ [_114346, _114348, _114350, _114352, _114354] : [-(_114346 = _114348), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _114350), c_Arrow__Order__Mirabelle_OLin)), 1795 ^ _82980 : [(1828 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114352), _114354)), c_Arrow__Order__Mirabelle_Oabove(_114350, _114346, _114348)))), -(_114352 = _114354), 1835 ^ _82980 : [(1836 ^ _82980) ^ [] : [-(_114352 = _114348)], (1838 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114346), _114354)), _114350))]], 1839 ^ _82980 : [(1840 ^ _82980) ^ [] : [_114352 = _114348], (1842 ^ _82980) ^ [] : [1843 ^ _82980 : [(1844 ^ _82980) ^ [] : [-(_114354 = _114348)], (1846 ^ _82980) ^ [] : [_114352 = _114346], (1848 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114352), _114346)), _114350))]], 1849 ^ _82980 : [(1850 ^ _82980) ^ [] : [_114354 = _114348], (1852 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114352), _114354)), _114350))]]]]], (1796 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114352), _114354)), c_Arrow__Order__Mirabelle_Oabove(_114350, _114346, _114348))), 1799 ^ _82980 : [(1800 ^ _82980) ^ [] : [_114352 = _114354], (1802 ^ _82980) ^ [] : [_114352 = _114348, -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114346), _114354)), _114350)))], (1808 ^ _82980) ^ [] : [-(_114352 = _114348), 1811 ^ _82980 : [(1822 ^ _82980) ^ [] : [-(_114354 = _114348), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114352), _114354)), _114350)))], (1812 ^ _82980) ^ [] : [_114354 = _114348, -(_114352 = _114346), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114352), _114346)), _114350)))]]]]]]], (1856 ^ _82980) ^ [_115389, _115391] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _115389), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))), 1862 ^ _82980 : [(1863 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), 1861 ^ [_115389, _115391]), c_Arrow__Order__Mirabelle_OProf)))], (1867 ^ _82980) ^ [] : [1864 ^ [_115389, _115391] = 1865 ^ [_115389, _115391]], (1869 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1864 ^ [_115389, _115391]), 1865 ^ [_115389, _115391])), hAPP(1861 ^ [_115389, _115391], _115391))))], (1871 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1864 ^ [_115389, _115391]), 1865 ^ [_115389, _115391])), hAPP(_115389, 1861 ^ [_115389, _115391])))]], -(c_Arrow__Order__Mirabelle_Odictator(_115389, _115391))], (1875 ^ _82980) ^ [_115919, _115921, _115923, _115925, _115927, _115929] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_115919, _115921)), _115923), c_FuncSet_OPi(_115919, _115921, _115925, c_COMBK(tc_fun(_115921, tc_HOL_Obool), _115919, _115927)))), hBOOL(hAPP(hAPP(c_member(_115919), _115929), _115925)), -(hBOOL(hAPP(hAPP(c_member(_115921), hAPP(_115923, _115929)), _115927)))], (1885 ^ _82980) ^ [_116142, _116144, _116146, _116148, _116150, _116152] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_116142, _116144)), _116146), c_FuncSet_OPi(_116142, _116144, _116148, _116150))), hBOOL(hAPP(hAPP(c_member(_116142), _116152), _116148)), -(hBOOL(hAPP(hAPP(c_member(_116144), hAPP(_116146, _116152)), hAPP(_116150, _116152))))], (1895 ^ _82980) ^ [_116357, _116359] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_116357, _116357)), c_COMBI(_116357)), c_FuncSet_OPi(_116357, _116357, _116359, c_COMBK(tc_fun(_116357, tc_HOL_Obool), _116357, _116359)))))], (1897 ^ _82980) ^ [_116405, _116407, _116409] : [-(_116405 = _116407), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _116409), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Oabove(_116409, _116405, _116407)), c_Arrow__Order__Mirabelle_OLin)))], (1922 ^ _82980) ^ [_116987] : [1924 ^ _82980 : [(1925 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), 1923 ^ [_116987]), c_Arrow__Order__Mirabelle_OProf)))], (1929 ^ _82980) ^ [_117205] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1926 ^ [_116987]), 1927 ^ [_116987])), hAPP(1923 ^ [_116987], _117205))))], (1931 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1926 ^ [_116987]), 1927 ^ [_116987])), hAPP(_116987, 1923 ^ [_116987])))]], -(c_Arrow__Order__Mirabelle_Ounanimity(_116987))], (1907 ^ _82980) ^ [_116576] : [c_Arrow__Order__Mirabelle_Ounanimity(_116576), 1910 ^ _82980 : [(1911 ^ _82980) ^ [_116689] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _116689), c_Arrow__Order__Mirabelle_OProf)), 1914 ^ _82980 : [(1915 ^ _82980) ^ [_116800, _116802] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _116802), _116800)), hAPP(_116689, 1916 ^ [_116576, _116689, _116800, _116802]))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _116802), _116800)), hAPP(_116576, _116689))))]]]]], (1935 ^ _82980) ^ [_117351] : [c_Arrow__Order__Mirabelle_OIIA(_117351), 1938 ^ _82980 : [(1939 ^ _82980) ^ [_117520] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _117520), c_Arrow__Order__Mirabelle_OProf)), 1942 ^ _82980 : [(1943 ^ _82980) ^ [_117687] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _117687), c_Arrow__Order__Mirabelle_OProf)), 1946 ^ _82980 : [(1947 ^ _82980) ^ [_117840, _117842] : [1951 ^ _82980 : [(1952 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117842), _117840)), hAPP(_117520, 1948 ^ [_117351, _117520, _117687, _117840, _117842]))))], (1954 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117842), _117840)), hAPP(_117687, 1948 ^ [_117351, _117520, _117687, _117840, _117842])))]], 1955 ^ _82980 : [(1956 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117842), _117840)), hAPP(_117687, 1948 ^ [_117351, _117520, _117687, _117840, _117842]))))], (1958 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117842), _117840)), hAPP(_117520, 1948 ^ [_117351, _117520, _117687, _117840, _117842])))]], 1959 ^ _82980 : [(1960 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117842), _117840)), hAPP(_117351, _117520))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117842), _117840)), hAPP(_117351, _117687))))], (1966 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117842), _117840)), hAPP(_117351, _117687))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117842), _117840)), hAPP(_117351, _117520))))]]]]]]]]], (1972 ^ _82980) ^ [_118466] : [-(c_Arrow__Order__Mirabelle_OIIA(_118466)), 1974 ^ _82980 : [(1975 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), 1973 ^ [_118466]), c_Arrow__Order__Mirabelle_OProf)))], (1978 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), 1976 ^ [_118466]), c_Arrow__Order__Mirabelle_OProf)))], (1994 ^ _82980) ^ [] : [1995 ^ _82980 : [(1996 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1979 ^ [_118466]), 1980 ^ [_118466])), hAPP(_118466, 1973 ^ [_118466]))))], (1998 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1979 ^ [_118466]), 1980 ^ [_118466])), hAPP(_118466, 1976 ^ [_118466])))]], 1999 ^ _82980 : [(2000 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1979 ^ [_118466]), 1980 ^ [_118466])), hAPP(_118466, 1976 ^ [_118466]))))], (2002 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1979 ^ [_118466]), 1980 ^ [_118466])), hAPP(_118466, 1973 ^ [_118466])))]]], (1982 ^ _82980) ^ [_119038] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1979 ^ [_118466]), 1980 ^ [_118466])), hAPP(1973 ^ [_118466], _119038))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1979 ^ [_118466]), 1980 ^ [_118466])), hAPP(1976 ^ [_118466], _119038))))], (1988 ^ _82980) ^ [_119227] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1979 ^ [_118466]), 1980 ^ [_118466])), hAPP(1976 ^ [_118466], _119227))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1979 ^ [_118466]), 1980 ^ [_118466])), hAPP(1973 ^ [_118466], _119227))))]]], (2006 ^ _82980) ^ [_119691, _119693] : [-(_119691 = _119693), 2010 ^ _82980 : [(2011 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 2009 ^ [_119691, _119693]), c_Arrow__Order__Mirabelle_OLin)))], (2013 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _119691), _119693)), 2009 ^ [_119691, _119693])))]]], (2015 ^ _82980) ^ [_119794, _119796, _119798, _119800, _119802] : [2017 ^ _82980 : [(2018 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_119794), 2016 ^ [_119794, _119796, _119798, _119800, _119802]), _119796)))], (2020 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_119798), hAPP(_119800, 2016 ^ [_119794, _119796, _119798, _119800, _119802])), hAPP(_119802, 2016 ^ [_119794, _119796, _119798, _119800, _119802])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_119794, _119798)), _119800), c_FuncSet_OPi(_119794, _119798, _119796, _119802))))], (2024 ^ _82980) ^ [_120054, _120056, _120058, _120060, _120062] : [2026 ^ _82980 : [(2027 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_120054), 2025 ^ [_120054, _120056, _120058, _120060, _120062]), _120056)))], (2029 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_120058), hAPP(_120060, 2025 ^ [_120054, _120056, _120058, _120060, _120062])), _120062))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_120054, _120058)), _120060), c_FuncSet_OPi(_120054, _120058, _120056, c_COMBK(tc_fun(_120058, tc_HOL_Obool), _120054, _120062)))))], (2033 ^ _82980) ^ [_120306, _120308, _120310, _120312, _120314, _120316] : [-(hAPP(hAPP(c_Product__Type_Ocurry(_120306, _120308, _120310, _120312), _120314), _120316) = hAPP(_120312, hAPP(hAPP(c_Product__Type_OPair(_120306, _120308), _120314), _120316)))], (2035 ^ _82980) ^ [_120362, _120364, _120366, _120368, _120370] : [2037 ^ _82980 : [(2038 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_120362), 2036 ^ [_120362, _120364, _120366, _120368, _120370]), _120364)))], (2040 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_120366), hAPP(_120368, 2036 ^ [_120362, _120364, _120366, _120368, _120370])), hAPP(_120370, 2036 ^ [_120362, _120364, _120366, _120368, _120370])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_120362, _120366)), _120368), c_FuncSet_OPi(_120362, _120366, _120364, _120370))))], (2044 ^ _82980) ^ [_120622, _120624, _120626, _120628, _120630, _120632] : [2046 ^ _82980 : [(2047 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_120622), 2045 ^ [_120622, _120624, _120626, _120628, _120630, _120632]), _120624)))], (2049 ^ _82980) ^ [] : [hAPP(_120626, 2045 ^ [_120622, _120624, _120626, _120628, _120630, _120632]) = hAPP(_120628, 2045 ^ [_120622, _120624, _120626, _120628, _120630, _120632])]], 2050 ^ _82980 : [(2051 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_120622, _120630)), _120626), c_FuncSet_OPi(_120622, _120630, _120624, _120632))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_120622, _120630)), _120628), c_FuncSet_OPi(_120622, _120630, _120624, _120632))))], (2057 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_120622, _120630)), _120628), c_FuncSet_OPi(_120622, _120630, _120624, _120632))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_120622, _120630)), _120626), c_FuncSet_OPi(_120622, _120630, _120624, _120632))))]]], (2063 ^ _82980) ^ [_121077, _121079, _121081, _121083, _121085, _121087, _121089, _121091] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_121077, _121079)), _121081), c_FuncSet_OPi(_121077, _121079, _121083, c_COMBK(tc_fun(_121079, tc_HOL_Obool), _121077, _121085)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_121079, _121087)), _121089), c_FuncSet_OPi(_121079, _121087, _121085, c_COMBK(tc_fun(_121087, tc_HOL_Obool), _121079, _121091)))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_121077, _121087)), c_FuncSet_Ocompose(_121077, _121079, _121087, _121083, _121089, _121081)), c_FuncSet_OPi(_121077, _121087, _121083, c_COMBK(tc_fun(_121087, tc_HOL_Obool), _121077, _121091)))))], (2073 ^ _82980) ^ [_121376, _121378, _121380, _121382, _121384, _121386, _121388, _121390, _121392, _121394, _121396] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_121376, _121378)), _121380), c_FuncSet_OPi(_121376, _121378, _121382, c_COMBK(tc_fun(_121378, tc_HOL_Obool), _121376, _121384)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_121378, _121386)), _121388), c_FuncSet_OPi(_121378, _121386, _121384, c_COMBK(tc_fun(_121386, tc_HOL_Obool), _121378, _121390)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_121386, _121392)), _121394), c_FuncSet_OPi(_121386, _121392, _121390, c_COMBK(tc_fun(_121392, tc_HOL_Obool), _121386, _121396)))), -(c_FuncSet_Ocompose(_121376, _121386, _121392, _121382, _121394, c_FuncSet_Ocompose(_121376, _121378, _121386, _121382, _121388, _121380)) = c_FuncSet_Ocompose(_121376, _121378, _121392, _121382, c_FuncSet_Ocompose(_121378, _121386, _121392, _121384, _121394, _121388), _121380))], (2087 ^ _82980) ^ [_121799, _121801, _121803, _121805] : [hBOOL(hAPP(hAPP(c_member(_121799), _121801), c_Wellfounded_Oacc(_121799, _121803))), hBOOL(hAPP(hAPP(c_member(tc_prod(_121799, _121799)), hAPP(hAPP(c_Product__Type_OPair(_121799, _121799), _121805), _121801)), _121803)), -(hBOOL(hAPP(hAPP(c_member(_121799), _121805), c_Wellfounded_Oacc(_121799, _121803))))], (2107 ^ _82980) ^ [_122285, _122287, _122289] : [2109 ^ _82980 : [(2110 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_122285, _122285)), hAPP(hAPP(c_Product__Type_OPair(_122285, _122285), 2108 ^ [_122285, _122287, _122289]), _122287)), _122289)))], (2112 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_122285), 2108 ^ [_122285, _122287, _122289]), c_Wellfounded_Oacc(_122285, _122289)))]], -(hBOOL(hAPP(hAPP(c_member(_122285), _122287), c_Wellfounded_Oacc(_122285, _122289))))], (2097 ^ _82980) ^ [_122032, _122034, _122036] : [hBOOL(hAPP(hAPP(c_member(_122032), _122034), c_Wellfounded_Oacc(_122032, _122036))), 2100 ^ _82980 : [(2101 ^ _82980) ^ [_122146] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_122032, _122032)), hAPP(hAPP(c_Product__Type_OPair(_122032, _122032), _122146), _122034)), _122036)), -(hBOOL(hAPP(hAPP(c_member(_122032), _122146), c_Wellfounded_Oacc(_122032, _122036))))]]], (2116 ^ _82980) ^ [_122525, _122527, _122529, _122531, _122533] : [hBOOL(hAPP(_122525, hAPP(hAPP(c_Product__Type_OPair(_122527, _122529), _122531), _122533))), -(hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_122527, _122529, tc_HOL_Obool, _122525), _122531), _122533)))], (2122 ^ _82980) ^ [_122650, _122652, _122654, _122656, _122658, _122660, _122662] : [hBOOL(hAPP(hAPP(c_member(_122650), _122652), _122654)), -(hAPP(c_FuncSet_Ocompose(_122650, _122656, _122658, _122654, _122660, _122662), _122652) = hAPP(_122660, hAPP(_122662, _122652)))], (2128 ^ _82980) ^ [_122783, _122785, _122787, _122789, _122791] : [hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_122783, _122785, tc_HOL_Obool, _122787), _122789), _122791)), -(hBOOL(hAPP(_122787, hAPP(hAPP(c_Product__Type_OPair(_122783, _122785), _122789), _122791))))], (2134 ^ _82980) ^ [_122908, _122910, _122912, _122914, _122916] : [hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_122908, _122910, tc_HOL_Obool, _122912), _122914), _122916)), -(hBOOL(hAPP(_122912, hAPP(hAPP(c_Product__Type_OPair(_122908, _122910), _122914), _122916))))], (2140 ^ _82980) ^ [_123033, _123035, _123037, _123039, _123041, _123043] : [-(hAPP(hAPP(c_Product__Type_Ocurry(_123033, _123035, _123037, _123039), _123041), _123043) = hAPP(_123039, hAPP(hAPP(c_Product__Type_OPair(_123033, _123035), _123041), _123043)))], (2142 ^ _82980) ^ [_123107, _123109, _123111] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_123107, hAPP(hAPP(c_COMBC(_123107, tc_fun(tc_prod(_123107, _123107), tc_HOL_Obool), tc_fun(_123107, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_123107, tc_fun(tc_fun(tc_prod(_123107, _123107), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_123107, _123107), tc_HOL_Obool), tc_fun(_123107, tc_HOL_Obool)), _123107), c_COMBC(_123107, tc_fun(tc_prod(_123107, _123107), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_123107, tc_prod(_123107, _123107)), tc_fun(_123107, tc_fun(tc_fun(tc_prod(_123107, _123107), tc_HOL_Obool), tc_HOL_Obool)), _123107), hAPP(c_COMBB(tc_prod(_123107, _123107), tc_fun(tc_fun(tc_prod(_123107, _123107), tc_HOL_Obool), tc_HOL_Obool), _123107), c_member(tc_prod(_123107, _123107)))), c_Product__Type_OPair(_123107, _123107)))), _123109)), _123111)), -(hBOOL(hAPP(hAPP(c_member(_123107), _123111), c_Wellfounded_Oacc(_123107, _123109))))], (2148 ^ _82980) ^ [_123448, _123450, _123452] : [hBOOL(hAPP(hAPP(c_member(_123448), _123452), c_Wellfounded_Oacc(_123448, _123450))), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_123448, hAPP(hAPP(c_COMBC(_123448, tc_fun(tc_prod(_123448, _123448), tc_HOL_Obool), tc_fun(_123448, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_123448, tc_fun(tc_fun(tc_prod(_123448, _123448), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_123448, _123448), tc_HOL_Obool), tc_fun(_123448, tc_HOL_Obool)), _123448), c_COMBC(_123448, tc_fun(tc_prod(_123448, _123448), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_123448, tc_prod(_123448, _123448)), tc_fun(_123448, tc_fun(tc_fun(tc_prod(_123448, _123448), tc_HOL_Obool), tc_HOL_Obool)), _123448), hAPP(c_COMBB(tc_prod(_123448, _123448), tc_fun(tc_fun(tc_prod(_123448, _123448), tc_HOL_Obool), tc_HOL_Obool), _123448), c_member(tc_prod(_123448, _123448)))), c_Product__Type_OPair(_123448, _123448)))), _123450)), _123452)))], (2154 ^ _82980) ^ [_123795, _123797, _123799] : [2156 ^ _82980 : [(2157 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_123795, _123795)), hAPP(hAPP(c_Product__Type_OPair(_123795, _123795), 2155 ^ [_123795, _123797, _123799]), _123797)), _123799)))], (2159 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_123795), 2155 ^ [_123795, _123797, _123799]), c_Wellfounded_Oacc(_123795, _123799)))]], -(hBOOL(hAPP(hAPP(c_member(_123795), _123797), c_Wellfounded_Oacc(_123795, _123799))))], (2163 ^ _82980) ^ [_124032, _124034, _124036] : [-(hBOOL(hAPP(hAPP(c_member(_124032), _124034), c_Wellfounded_Oacc(_124032, _124036)))), 2167 ^ _82980 : [(2168 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_124032, _124032)), hAPP(hAPP(c_Product__Type_OPair(_124032, _124032), 2166 ^ [_124032, _124034, _124036]), _124034)), _124036)))], (2170 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_124032), 2166 ^ [_124032, _124034, _124036]), c_Wellfounded_Oacc(_124032, _124036)))]]], (2172 ^ _82980) ^ [_124259, _124261, _124263, _124265, _124267, _124269] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_124259, _124261)), c_FuncSet_Ocompose(_124259, _124263, _124261, _124265, _124267, _124269)), c_FuncSet_Oextensional(_124259, _124261, _124265))))], (2174 ^ _82980) ^ [_124313, _124315, _124317, _124319] : [hBOOL(hAPP(hAPP(c_member(_124313), _124315), c_Wellfounded_Oacc(_124313, _124317))), hBOOL(hAPP(hAPP(c_member(tc_prod(_124313, _124313)), hAPP(hAPP(c_Product__Type_OPair(_124313, _124313), _124319), _124315)), c_Transitive__Closure_Ortrancl(_124313, _124317))), -(hBOOL(hAPP(hAPP(c_member(_124313), _124319), c_Wellfounded_Oacc(_124313, _124317))))], (2184 ^ _82980) ^ [_124534, _124536, _124538, _124540] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_124534, _124534)), hAPP(hAPP(c_Product__Type_OPair(_124534, _124534), _124536), _124538)), c_Transitive__Closure_Ortrancl(_124534, _124540))), hBOOL(hAPP(hAPP(c_member(_124534), _124538), c_Wellfounded_Oacc(_124534, _124540))), -(hBOOL(hAPP(hAPP(c_member(_124534), _124536), c_Wellfounded_Oacc(_124534, _124540))))], (2194 ^ _82980) ^ [_124782, _124784, _124786, _124788, _124790, _124792] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_124782, _124784, _124786, _124788, _124790), hAPP(hAPP(_124788, _124792), _124790))), 2198 ^ _82980 : [(2199 ^ _82980) ^ [] : [-(hAPP(hAPP(_124788, _124792), _124790) = hAPP(hAPP(_124788, 2197 ^ [_124782, _124784, _124786, _124788, _124790, _124792]), _124790))], (2201 ^ _82980) ^ [_125044] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_124782, _124782)), hAPP(hAPP(c_Product__Type_OPair(_124782, _124782), _125044), _124790)), _124786)), -(hBOOL(hAPP(c_Recdef_Owfrec__rel(_124782, _124784, _124786, _124788, _125044), hAPP(2197 ^ [_124782, _124784, _124786, _124788, _124790, _124792], _125044))))]]], (2207 ^ _82980) ^ [_125223, _125225, _125227, _125229, _125231, _125233] : [-(hBOOL(hAPP(c_Recdef_Owfrec__rel(_125223, _125225, _125227, _125229, _125231), hAPP(hAPP(_125229, _125233), _125231)))), 2208 ^ _82980 : [(2209 ^ _82980) ^ [_125338] : [hAPP(hAPP(_125229, _125233), _125231) = hAPP(hAPP(_125229, _125338), _125231), 2213 ^ _82980 : [(2214 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_125223, _125223)), hAPP(hAPP(c_Product__Type_OPair(_125223, _125223), 2212 ^ [_125223, _125225, _125227, _125229, _125231, _125233, _125338]), _125231)), _125227)))], (2216 ^ _82980) ^ [] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_125223, _125225, _125227, _125229, 2212 ^ [_125223, _125225, _125227, _125229, _125231, _125233, _125338]), hAPP(_125338, 2212 ^ [_125223, _125225, _125227, _125229, _125231, _125233, _125338])))]]]]], (2220 ^ _82980) ^ [_125675, _125677, _125679, _125681, _125683, _125685] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_125679, _125679)), hAPP(hAPP(c_Product__Type_OPair(_125679, _125679), _125681), _125683)), _125675)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_125679, _125685), _125677), _125675), _125683), _125681) = hAPP(_125677, _125681))], (2236 ^ _82980) ^ [_126142, _126144, _126146, _126148, _126150, _126152] : [2238 ^ _82980 : [(2239 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_126142, _126142)), hAPP(hAPP(c_Product__Type_OPair(_126142, _126142), 2237 ^ [_126142, _126144, _126146, _126148, _126150, _126152]), _126150)), _126148)))], (2241 ^ _82980) ^ [] : [hAPP(_126146, 2237 ^ [_126142, _126144, _126146, _126148, _126150, _126152]) = hAPP(_126152, 2237 ^ [_126142, _126144, _126146, _126148, _126150, _126152])]], -(hAPP(hAPP(hAPP(c_Recdef_Ocut(_126142, _126144), _126146), _126148), _126150) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_126142, _126144), _126152), _126148), _126150))], (2226 ^ _82980) ^ [_125861, _125863, _125865, _125867, _125869, _125871] : [hAPP(hAPP(hAPP(c_Recdef_Ocut(_125861, _125863), _125865), _125867), _125869) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_125861, _125863), _125871), _125867), _125869), 2229 ^ _82980 : [(2230 ^ _82980) ^ [_126005] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_125861, _125861)), hAPP(hAPP(c_Product__Type_OPair(_125861, _125861), _126005), _125869)), _125867)), -(hAPP(_125865, _126005) = hAPP(_125871, _126005))]]], (2245 ^ _82980) ^ [_126435, _126437, _126439, _126441] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_126435, _126437), _126439)), hBOOL(hAPP(hAPP(_126437, _126441), _126439)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_126435, _126437), _126441)))], (2265 ^ _82980) ^ [_126806, _126808, _126810] : [2267 ^ _82980 : [(2268 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(_126808, 2266 ^ [_126806, _126808, _126810]), _126810)))], (2270 ^ _82980) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_126806, _126808), 2266 ^ [_126806, _126808, _126810]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_126806, _126808), _126810)))], (2255 ^ _82980) ^ [_126620, _126622, _126624] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_126620, _126622), _126624)), 2258 ^ _82980 : [(2259 ^ _82980) ^ [_126705] : [hBOOL(hAPP(hAPP(_126622, _126705), _126624)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_126620, _126622), _126705)))]]], (2284 ^ _82980) ^ [_127196, _127198, _127200] : [2286 ^ _82980 : [(2287 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(_127198, 2285 ^ [_127196, _127198, _127200]), _127200)))], (2289 ^ _82980) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_127196, _127198), 2285 ^ [_127196, _127198, _127200]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_127196, _127198), _127200)))], (2274 ^ _82980) ^ [_127010, _127012, _127014] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_127010, _127012), _127014)), 2277 ^ _82980 : [(2278 ^ _82980) ^ [_127095] : [hBOOL(hAPP(hAPP(_127012, _127095), _127014)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_127010, _127012), _127095)))]]], (2293 ^ _82980) ^ [_127382, _127384, _127386, _127388, _127390, _127392] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_127382, _127382)), hAPP(hAPP(c_Product__Type_OPair(_127382, _127382), _127384), _127386)), _127388)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_127382, _127390), _127392), _127388), _127386), _127384) = hAPP(_127392, _127384))], (2299 ^ _82980) ^ [_127541, _127543, _127545] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_127541, _127541)), hAPP(hAPP(c_Product__Type_OPair(_127541, _127541), _127543), _127543)), c_Transitive__Closure_Ortrancl(_127541, _127545))))], (2301 ^ _82980) ^ [_127590, _127592, _127594] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_127590, _127590)), _127592), _127594)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_127590, _127590)), _127592), c_Transitive__Closure_Ortrancl(_127590, _127594))))], (2307 ^ _82980) ^ [_127715, _127717, _127719, _127721, _127723] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_127715, _127715)), hAPP(hAPP(c_Product__Type_OPair(_127715, _127715), _127717), _127719)), c_Transitive__Closure_Ortrancl(_127715, _127721))), hBOOL(hAPP(hAPP(c_member(tc_prod(_127715, _127715)), hAPP(hAPP(c_Product__Type_OPair(_127715, _127715), _127719), _127723)), c_Transitive__Closure_Ortrancl(_127715, _127721))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_127715, _127715)), hAPP(hAPP(c_Product__Type_OPair(_127715, _127715), _127717), _127723)), c_Transitive__Closure_Ortrancl(_127715, _127721))))], (2317 ^ _82980) ^ [_127988, _127990, _127992, _127994, _127996] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_127988, _127988)), hAPP(hAPP(c_Product__Type_OPair(_127988, _127988), _127990), _127992)), c_Transitive__Closure_Ortrancl(_127988, _127994))), hBOOL(hAPP(hAPP(c_member(tc_prod(_127988, _127988)), hAPP(hAPP(c_Product__Type_OPair(_127988, _127988), _127992), _127996)), _127994)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_127988, _127988)), hAPP(hAPP(c_Product__Type_OPair(_127988, _127988), _127990), _127996)), c_Transitive__Closure_Ortrancl(_127988, _127994))))], (2327 ^ _82980) ^ [_128255, _128257, _128259, _128261, _128263] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_128255, _128255)), hAPP(hAPP(c_Product__Type_OPair(_128255, _128255), _128257), _128259)), _128261)), hBOOL(hAPP(hAPP(c_member(tc_prod(_128255, _128255)), hAPP(hAPP(c_Product__Type_OPair(_128255, _128255), _128259), _128263)), c_Transitive__Closure_Ortrancl(_128255, _128261))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_128255, _128255)), hAPP(hAPP(c_Product__Type_OPair(_128255, _128255), _128257), _128263)), c_Transitive__Closure_Ortrancl(_128255, _128261))))], (2337 ^ _82980) ^ [_128522, _128524, _128526, _128528, _128530] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_128522, _128524)), _128526), c_FuncSet_OPi(_128522, _128524, _128528, c_COMBK(tc_fun(_128524, tc_HOL_Obool), _128522, _128530)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_128522, _128524)), _128526), c_FuncSet_Oextensional(_128522, _128524, _128528))), -(c_FuncSet_Ocompose(_128522, _128524, _128524, _128528, c_FuncSet_Orestrict(_128524, _128524, c_COMBI(_128524), _128530), _128526) = _128526)], (2347 ^ _82980) ^ [_128763, _128765, _128767, _128769, _128771] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_128763, _128765)), _128767), c_FuncSet_OPi(_128763, _128765, _128769, c_COMBK(tc_fun(_128765, tc_HOL_Obool), _128763, _128771)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_128763, _128765)), _128767), c_FuncSet_Oextensional(_128763, _128765, _128769))), -(c_FuncSet_Ocompose(_128763, _128763, _128765, _128769, _128767, c_FuncSet_Orestrict(_128763, _128763, c_COMBI(_128763), _128769)) = _128767)], (2357 ^ _82980) ^ [_129004, _129006, _129008, _129010] : [-(c_Recdef_Oadm__wf(_129004, _129006, _129008, hAPP(hAPP(c_COMBC(tc_fun(_129004, _129006), tc_fun(_129004, _129004), tc_fun(_129004, _129006)), hAPP(hAPP(c_COMBB(tc_fun(_129004, tc_fun(_129004, _129006)), tc_fun(tc_fun(_129004, _129004), tc_fun(_129004, _129006)), tc_fun(_129004, _129006)), c_COMBS(_129004, _129004, _129006)), hAPP(hAPP(c_COMBB(tc_fun(_129004, tc_fun(_129004, _129006)), tc_fun(_129004, tc_fun(_129004, _129006)), tc_fun(_129004, _129006)), hAPP(c_COMBB(tc_fun(_129004, _129006), tc_fun(_129004, _129006), _129004), _129010)), hAPP(hAPP(c_COMBC(tc_fun(_129004, _129006), tc_fun(tc_prod(_129004, _129004), tc_HOL_Obool), tc_fun(_129004, tc_fun(_129004, _129006))), c_Recdef_Ocut(_129004, _129006)), _129008)))), c_COMBI(_129004))))], (2359 ^ _82980) ^ [_129154, _129156, _129158, _129160, _129162, _129164] : [-(c_FuncSet_Ocompose(_129154, _129156, _129158, _129160, _129162, _129164) = c_FuncSet_Orestrict(_129154, _129158, hAPP(hAPP(c_COMBB(_129156, _129158, _129154), _129162), _129164), _129160))], (2361 ^ _82980) ^ [_129209, _129211, _129213, _129215] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_129209, _129211)), _129213), c_FuncSet_Oextensional(_129209, _129211, _129215))), -(c_FuncSet_Orestrict(_129209, _129211, _129213, _129215) = _129213)], (2367 ^ _82980) ^ [_129328, _129330, _129332, _129334] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_129328, _129330)), c_FuncSet_Orestrict(_129328, _129330, _129332, _129334)), c_FuncSet_Oextensional(_129328, _129330, _129334))))], (2369 ^ _82980) ^ [_129376, _129378] : [-(c_Transitive__Closure_Ortrancl(_129376, c_Transitive__Closure_Ortrancl(_129376, _129378)) = c_Transitive__Closure_Ortrancl(_129376, _129378))], (2371 ^ _82980) ^ [_129410, _129412, _129414, _129416, _129418] : [2373 ^ _82980 : [(2374 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_129410), 2372 ^ [_129410, _129412, _129414, _129416, _129418]), _129412)))], (2376 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_129414), hAPP(_129416, 2372 ^ [_129410, _129412, _129414, _129416, _129418])), hAPP(_129418, 2372 ^ [_129410, _129412, _129414, _129416, _129418])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_129410, _129414)), c_FuncSet_Orestrict(_129410, _129414, _129416, _129412)), c_FuncSet_OPi(_129410, _129414, _129412, _129418))))], (2380 ^ _82980) ^ [_129680, _129682, _129684, _129686, _129688] : [2382 ^ _82980 : [(2383 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_129680), 2381 ^ [_129680, _129682, _129684, _129686, _129688]), _129682)))], (2385 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_129684), hAPP(_129686, 2381 ^ [_129680, _129682, _129684, _129686, _129688])), _129688))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_129680, _129684)), c_FuncSet_Orestrict(_129680, _129684, _129686, _129682)), c_FuncSet_OPi(_129680, _129684, _129682, c_COMBK(tc_fun(_129684, tc_HOL_Obool), _129680, _129688)))))], (2389 ^ _82980) ^ [_129942, _129944, _129946, _129948, _129950] : [c_Relation_Osingle__valued(_129942, _129942, _129944), hBOOL(hAPP(hAPP(c_member(tc_prod(_129942, _129942)), hAPP(hAPP(c_Product__Type_OPair(_129942, _129942), _129946), _129948)), c_Transitive__Closure_Ortrancl(_129942, _129944))), hBOOL(hAPP(hAPP(c_member(tc_prod(_129942, _129942)), hAPP(hAPP(c_Product__Type_OPair(_129942, _129942), _129946), _129950)), c_Transitive__Closure_Ortrancl(_129942, _129944))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_129942, _129942)), hAPP(hAPP(c_Product__Type_OPair(_129942, _129942), _129948), _129950)), c_Transitive__Closure_Ortrancl(_129942, _129944)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_129942, _129942)), hAPP(hAPP(c_Product__Type_OPair(_129942, _129942), _129950), _129948)), c_Transitive__Closure_Ortrancl(_129942, _129944))))], (2407 ^ _82980) ^ [_130353, _130355, _130357, _130359] : [c_Recdef_Oadm__wf(_130353, _130355, _130357, _130359), 2410 ^ _82980 : [(2411 ^ _82980) ^ [_130482, _130484, _130486] : [2413 ^ _82980 : [(2414 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_130353, _130353)), hAPP(hAPP(c_Product__Type_OPair(_130353, _130353), 2412 ^ [_130353, _130355, _130357, _130359, _130482, _130484, _130486]), _130482)), _130357)))], (2416 ^ _82980) ^ [] : [hAPP(_130486, 2412 ^ [_130353, _130355, _130357, _130359, _130482, _130484, _130486]) = hAPP(_130484, 2412 ^ [_130353, _130355, _130357, _130359, _130482, _130484, _130486])]], -(hAPP(hAPP(_130359, _130486), _130482) = hAPP(hAPP(_130359, _130484), _130482))]]], (2420 ^ _82980) ^ [_130759, _130761, _130763, _130765] : [-(c_Recdef_Oadm__wf(_130759, _130761, _130763, _130765)), 2424 ^ _82980 : [(2431 ^ _82980) ^ [] : [hAPP(hAPP(_130765, 2421 ^ [_130759, _130761, _130763, _130765]), 2423 ^ [_130759, _130761, _130763, _130765]) = hAPP(hAPP(_130765, 2422 ^ [_130759, _130761, _130763, _130765]), 2423 ^ [_130759, _130761, _130763, _130765])], (2425 ^ _82980) ^ [_130976] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_130759, _130759)), hAPP(hAPP(c_Product__Type_OPair(_130759, _130759), _130976), 2423 ^ [_130759, _130761, _130763, _130765])), _130763)), -(hAPP(2421 ^ [_130759, _130761, _130763, _130765], _130976) = hAPP(2422 ^ [_130759, _130761, _130763, _130765], _130976))]]], (2435 ^ _82980) ^ [_131304, _131306, _131308, _131310, _131312, _131314] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_131304, _131304)), hAPP(hAPP(c_Product__Type_OPair(_131304, _131304), _131306), _131308)), _131310)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_131304, _131312), _131314), _131310), _131308), _131306) = hAPP(_131314, _131306))], (2441 ^ _82980) ^ [_131457, _131459, _131461, _131463, _131465, _131467] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_131457, _131457)), hAPP(hAPP(c_Product__Type_OPair(_131457, _131457), _131459), _131461)), _131463))), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_131457, _131465), _131467), _131463), _131461), _131459) = c_HOL_Oundefined(_131465))], (2447 ^ _82980) ^ [_131538, _131540, _131542, _131544] : [-(hBOOL(hAPP(hAPP(c_member(_131538), _131540), c_Relation_ODomain(_131538, _131538, _131542)))), 2450 ^ _82980 : [(2451 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_131538, _131538)), hAPP(hAPP(c_Product__Type_OPair(_131538, _131538), _131540), _131544)), c_Transitive__Closure_Ortrancl(_131538, _131542))), -(_131540 = _131544)], (2457 ^ _82980) ^ [] : [_131540 = _131544, -(hBOOL(hAPP(hAPP(c_member(tc_prod(_131538, _131538)), hAPP(hAPP(c_Product__Type_OPair(_131538, _131538), _131540), _131544)), c_Transitive__Closure_Ortrancl(_131538, _131542))))]]], (2463 ^ _82980) ^ [_131832, _131834, _131836, _131838, _131840, _131842, _131844] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_131832, _131834), tc_prod(_131832, _131834))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_131832, _131834), tc_prod(_131832, _131834)), hAPP(hAPP(c_Product__Type_OPair(_131832, _131834), _131836), _131838)), hAPP(hAPP(c_Product__Type_OPair(_131832, _131834), _131840), _131842))), c_Transitive__Closure_Ortrancl(tc_prod(_131832, _131834), _131844))), -(hAPP(hAPP(c_Product__Type_OPair(_131832, _131834), _131836), _131838) = hAPP(hAPP(c_Product__Type_OPair(_131832, _131834), _131840), _131842)), 2472 ^ _82980 : [(2473 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_131832, _131834), tc_prod(_131832, _131834))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_131832, _131834), tc_prod(_131832, _131834)), hAPP(hAPP(c_Product__Type_OPair(_131832, _131834), _131836), _131838)), hAPP(hAPP(c_Product__Type_OPair(_131832, _131834), 2470 ^ [_131832, _131834, _131836, _131838, _131840, _131842, _131844]), 2471 ^ [_131832, _131834, _131836, _131838, _131840, _131842, _131844]))), _131844)))], (2475 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_131832, _131834), tc_prod(_131832, _131834))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_131832, _131834), tc_prod(_131832, _131834)), hAPP(hAPP(c_Product__Type_OPair(_131832, _131834), 2470 ^ [_131832, _131834, _131836, _131838, _131840, _131842, _131844]), 2471 ^ [_131832, _131834, _131836, _131838, _131840, _131842, _131844])), hAPP(hAPP(c_Product__Type_OPair(_131832, _131834), _131840), _131842))), c_Transitive__Closure_Ortrancl(tc_prod(_131832, _131834), _131844))))]]], (2477 ^ _82980) ^ [_132413, _132415, _132417, _132419, _132421, _132423, _132425, _132427] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_132413, _132415), tc_prod(_132413, _132415))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_132413, _132415), tc_prod(_132413, _132415)), hAPP(hAPP(c_Product__Type_OPair(_132413, _132415), _132417), _132419)), hAPP(hAPP(c_Product__Type_OPair(_132413, _132415), _132421), _132423))), c_Transitive__Closure_Ortrancl(tc_prod(_132413, _132415), _132425))), hBOOL(hAPP(hAPP(_132427, _132421), _132423)), 2490 ^ _82980 : [(2491 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_132413, _132415), tc_prod(_132413, _132415))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_132413, _132415), tc_prod(_132413, _132415)), hAPP(hAPP(c_Product__Type_OPair(_132413, _132415), 2486 ^ [_132413, _132415, _132417, _132419, _132421, _132423, _132425, _132427]), 2487 ^ [_132413, _132415, _132417, _132419, _132421, _132423, _132425, _132427])), hAPP(hAPP(c_Product__Type_OPair(_132413, _132415), 2488 ^ [_132413, _132415, _132417, _132419, _132421, _132423, _132425, _132427]), 2489 ^ [_132413, _132415, _132417, _132419, _132421, _132423, _132425, _132427]))), _132425)))], (2493 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_132413, _132415), tc_prod(_132413, _132415))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_132413, _132415), tc_prod(_132413, _132415)), hAPP(hAPP(c_Product__Type_OPair(_132413, _132415), 2488 ^ [_132413, _132415, _132417, _132419, _132421, _132423, _132425, _132427]), 2489 ^ [_132413, _132415, _132417, _132419, _132421, _132423, _132425, _132427])), hAPP(hAPP(c_Product__Type_OPair(_132413, _132415), _132421), _132423))), c_Transitive__Closure_Ortrancl(tc_prod(_132413, _132415), _132425))))], (2495 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(_132427, 2488 ^ [_132413, _132415, _132417, _132419, _132421, _132423, _132425, _132427]), 2489 ^ [_132413, _132415, _132417, _132419, _132421, _132423, _132425, _132427])))], (2497 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(_132427, 2486 ^ [_132413, _132415, _132417, _132419, _132421, _132423, _132425, _132427]), 2487 ^ [_132413, _132415, _132417, _132419, _132421, _132423, _132425, _132427]))]], -(hBOOL(hAPP(hAPP(_132427, _132417), _132419)))], (2501 ^ _82980) ^ [_133491, _133493, _133495, _133497, _133499] : [hBOOL(hAPP(hAPP(c_member(_133491), _133493), _133495)), -(hAPP(c_FuncSet_Orestrict(_133491, _133497, _133499, _133495), _133493) = hAPP(_133499, _133493))], (2507 ^ _82980) ^ [_133604, _133606, _133608, _133610, _133612] : [-(hBOOL(hAPP(hAPP(c_member(_133604), _133606), _133608))), -(hAPP(c_FuncSet_Orestrict(_133604, _133610, _133612, _133608), _133606) = c_HOL_Oundefined(_133610))], (2513 ^ _82980) ^ [_133683, _133685, _133687, _133689, _133691] : [hBOOL(hAPP(hAPP(c_member(_133683), _133685), _133687)), -(hAPP(c_FuncSet_Orestrict(_133683, _133689, _133691, _133687), _133685) = hAPP(_133691, _133685))], (2519 ^ _82980) ^ [_133796, _133798, _133800, _133802, _133804] : [-(hBOOL(hAPP(hAPP(c_member(_133796), _133798), _133800))), -(hAPP(c_FuncSet_Orestrict(_133796, _133802, _133804, _133800), _133798) = c_HOL_Oundefined(_133802))], (2525 ^ _82980) ^ [_133857, _133859, _133861, _133863, _133865] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_133857, _133859)), _133861), c_FuncSet_Oextensional(_133857, _133859, _133863))), -(hBOOL(hAPP(hAPP(c_member(_133857), _133865), _133863))), -(hAPP(_133861, _133865) = c_HOL_Oundefined(_133859))], (2535 ^ _82980) ^ [_134007, _134009, _134011, _134013, _134015] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_134007, _134009)), hAPP(hAPP(c_Product__Type_OPair(_134007, _134009), _134011), _134013)), _134015)), -(hBOOL(hAPP(hAPP(c_member(_134007), _134011), c_Relation_ODomain(_134007, _134009, _134015))))], (2541 ^ _82980) ^ [_134171, _134173, _134175, _134177] : [hBOOL(hAPP(hAPP(c_member(_134171), _134173), c_Relation_ODomain(_134171, _134175, _134177))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_134171, _134175)), hAPP(hAPP(c_Product__Type_OPair(_134171, _134175), _134173), 2544 ^ [_134171, _134173, _134175, _134177])), _134177)))], (2548 ^ _82980) ^ [_134324, _134326, _134328, _134330] : [2549 ^ _82980 : [(2550 ^ _82980) ^ [_134397] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_134324, _134328)), hAPP(hAPP(c_Product__Type_OPair(_134324, _134328), _134326), _134397)), _134330))]], -(hBOOL(hAPP(hAPP(c_member(_134324), _134326), c_Relation_ODomain(_134324, _134328, _134330))))], (2554 ^ _82980) ^ [_134480, _134482, _134484, _134486, _134488, _134490] : [c_Relation_Osingle__valued(_134480, _134482, _134484), hBOOL(hAPP(hAPP(c_member(tc_prod(_134480, _134482)), hAPP(hAPP(c_Product__Type_OPair(_134480, _134482), _134486), _134488)), _134484)), hBOOL(hAPP(hAPP(c_member(tc_prod(_134480, _134482)), hAPP(hAPP(c_Product__Type_OPair(_134480, _134482), _134486), _134490)), _134484)), -(_134488 = _134490)], (2582 ^ _82980) ^ [_135155, _135157, _135159] : [2585 ^ _82980 : [(2586 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_135155, _135157)), hAPP(hAPP(c_Product__Type_OPair(_135155, _135157), 2583 ^ [_135155, _135157, _135159]), 2584 ^ [_135155, _135157, _135159])), _135159)))], (2589 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_135155, _135157)), hAPP(hAPP(c_Product__Type_OPair(_135155, _135157), 2583 ^ [_135155, _135157, _135159]), 2587 ^ [_135155, _135157, _135159])), _135159)))], (2591 ^ _82980) ^ [] : [2584 ^ [_135155, _135157, _135159] = 2587 ^ [_135155, _135157, _135159]]], -(c_Relation_Osingle__valued(_135155, _135157, _135159))], (2568 ^ _82980) ^ [_134781, _134783, _134785] : [c_Relation_Osingle__valued(_134781, _134783, _134785), 2571 ^ _82980 : [(2572 ^ _82980) ^ [_134902, _134904] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_134781, _134783)), hAPP(hAPP(c_Product__Type_OPair(_134781, _134783), _134904), _134902)), _134785)), 2575 ^ _82980 : [(2576 ^ _82980) ^ [_135028] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_134781, _134783)), hAPP(hAPP(c_Product__Type_OPair(_134781, _134783), _134904), _135028)), _134785)), -(_134902 = _135028)]]]]], (2595 ^ _82980) ^ [_135546, _135548, _135550, _135552] : [c_Predicate_ODomainP(_135546, _135548, hAPP(hAPP(c_COMBC(_135546, tc_fun(tc_prod(_135546, _135548), tc_HOL_Obool), tc_fun(_135548, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_135548, tc_fun(tc_fun(tc_prod(_135546, _135548), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_135546, _135548), tc_HOL_Obool), tc_fun(_135548, tc_HOL_Obool)), _135546), c_COMBC(_135548, tc_fun(tc_prod(_135546, _135548), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_135548, tc_prod(_135546, _135548)), tc_fun(_135548, tc_fun(tc_fun(tc_prod(_135546, _135548), tc_HOL_Obool), tc_HOL_Obool)), _135546), hAPP(c_COMBB(tc_prod(_135546, _135548), tc_fun(tc_fun(tc_prod(_135546, _135548), tc_HOL_Obool), tc_HOL_Obool), _135548), c_member(tc_prod(_135546, _135548)))), c_Product__Type_OPair(_135546, _135548)))), _135550), _135552), -(hBOOL(hAPP(hAPP(c_member(_135546), _135552), c_Relation_ODomain(_135546, _135548, _135550))))], (2601 ^ _82980) ^ [_135885, _135887, _135889, _135891] : [hBOOL(hAPP(hAPP(c_member(_135885), _135891), c_Relation_ODomain(_135885, _135887, _135889))), -(c_Predicate_ODomainP(_135885, _135887, hAPP(hAPP(c_COMBC(_135885, tc_fun(tc_prod(_135885, _135887), tc_HOL_Obool), tc_fun(_135887, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_135887, tc_fun(tc_fun(tc_prod(_135885, _135887), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_135885, _135887), tc_HOL_Obool), tc_fun(_135887, tc_HOL_Obool)), _135885), c_COMBC(_135887, tc_fun(tc_prod(_135885, _135887), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_135887, tc_prod(_135885, _135887)), tc_fun(_135887, tc_fun(tc_fun(tc_prod(_135885, _135887), tc_HOL_Obool), tc_HOL_Obool)), _135885), hAPP(c_COMBB(tc_prod(_135885, _135887), tc_fun(tc_fun(tc_prod(_135885, _135887), tc_HOL_Obool), tc_HOL_Obool), _135887), c_member(tc_prod(_135885, _135887)))), c_Product__Type_OPair(_135885, _135887)))), _135889), _135891))], (2607 ^ _82980) ^ [_136230, _136232, _136234, _136236, _136238, _136240, _136242, _136244] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_136230, _136232), tc_prod(_136230, _136232))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_136230, _136232), tc_prod(_136230, _136232)), hAPP(hAPP(c_Product__Type_OPair(_136230, _136232), _136234), _136236)), hAPP(hAPP(c_Product__Type_OPair(_136230, _136232), _136238), _136240))), c_Transitive__Closure_Ortrancl(tc_prod(_136230, _136232), _136242))), hBOOL(hAPP(hAPP(_136244, _136234), _136236)), 2618 ^ _82980 : [(2619 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_136230, _136232), tc_prod(_136230, _136232))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_136230, _136232), tc_prod(_136230, _136232)), hAPP(hAPP(c_Product__Type_OPair(_136230, _136232), _136234), _136236)), hAPP(hAPP(c_Product__Type_OPair(_136230, _136232), 2616 ^ [_136230, _136232, _136234, _136236, _136238, _136240, _136242, _136244]), 2617 ^ [_136230, _136232, _136234, _136236, _136238, _136240, _136242, _136244]))), c_Transitive__Closure_Ortrancl(tc_prod(_136230, _136232), _136242))))], (2623 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_136230, _136232), tc_prod(_136230, _136232))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_136230, _136232), tc_prod(_136230, _136232)), hAPP(hAPP(c_Product__Type_OPair(_136230, _136232), 2616 ^ [_136230, _136232, _136234, _136236, _136238, _136240, _136242, _136244]), 2617 ^ [_136230, _136232, _136234, _136236, _136238, _136240, _136242, _136244])), hAPP(hAPP(c_Product__Type_OPair(_136230, _136232), 2620 ^ [_136230, _136232, _136234, _136236, _136238, _136240, _136242, _136244]), 2621 ^ [_136230, _136232, _136234, _136236, _136238, _136240, _136242, _136244]))), _136242)))], (2625 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(_136244, 2616 ^ [_136230, _136232, _136234, _136236, _136238, _136240, _136242, _136244]), 2617 ^ [_136230, _136232, _136234, _136236, _136238, _136240, _136242, _136244])))], (2627 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(_136244, 2620 ^ [_136230, _136232, _136234, _136236, _136238, _136240, _136242, _136244]), 2621 ^ [_136230, _136232, _136234, _136236, _136238, _136240, _136242, _136244]))]], -(hBOOL(hAPP(hAPP(_136244, _136238), _136240)))], (2631 ^ _82980) ^ [_137360, _137362, _137364, _137366, _137368, _137370] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_137360, _137362)), _137364), c_FuncSet_Oextensional__funcset(_137360, _137362, _137366, _137368))), -(hBOOL(hAPP(hAPP(c_member(_137360), _137370), _137366))), -(hAPP(_137364, _137370) = c_HOL_Oundefined(_137362))], (2641 ^ _82980) ^ [_137514, _137516, _137518, _137520, _137522] : [hBOOL(hAPP(hAPP(_137514, _137516), _137518)), -(c_Predicate_ODomainP(_137520, _137522, _137514, _137516))], (2647 ^ _82980) ^ [_137611, _137613, _137615, _137617, _137619, _137621] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_137611, _137613)), _137615), c_FuncSet_Oextensional__funcset(_137611, _137613, _137617, _137619))), hBOOL(hAPP(hAPP(c_member(_137611), _137621), _137617)), -(hBOOL(hAPP(hAPP(c_member(_137613), hAPP(_137615, _137621)), _137619)))], (2657 ^ _82980) ^ [_137835, _137837] : [c_Relation_Oirrefl(_137835, _137837), 2660 ^ _82980 : [(2661 ^ _82980) ^ [_137917] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_137835, _137835)), hAPP(hAPP(c_Product__Type_OPair(_137835, _137835), _137917), _137917)), _137837))]]], (2663 ^ _82980) ^ [_137957, _137959] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_137957, _137957)), hAPP(hAPP(c_Product__Type_OPair(_137957, _137957), 2664 ^ [_137957, _137959]), 2664 ^ [_137957, _137959])), _137959))), -(c_Relation_Oirrefl(_137957, _137959))], (2670 ^ _82980) ^ [_138028, _138030, _138032, _138034] : [hBOOL(hAPP(hAPP(c_member(_138028), _138030), c_Relation_ODomain(_138028, _138032, _138034))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_138028, _138032)), hAPP(hAPP(c_Product__Type_OPair(_138028, _138032), _138030), 2673 ^ [_138028, _138030, _138032, _138034])), _138034)))], (2677 ^ _82980) ^ [_138189, _138191, _138193, _138195, _138197] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_138189, _138191)), hAPP(hAPP(c_Product__Type_OPair(_138189, _138191), _138193), _138195)), _138197)), -(hBOOL(hAPP(hAPP(c_member(_138191), _138195), c_Relation_ORange(_138189, _138191, _138197))))], (2683 ^ _82980) ^ [_138353, _138355, _138357, _138359] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_138353, _138353)), hAPP(hAPP(c_Product__Type_OPair(_138353, _138353), _138355), _138357)), c_Relation_OId__on(_138353, _138359))), 2686 ^ _82980 : [(2687 ^ _82980) ^ [] : [-(_138355 = _138357)], (2689 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_138353), _138355), _138359)))]]], (2691 ^ _82980) ^ [_138514, _138516, _138518, _138520] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_138514, _138514)), hAPP(hAPP(c_Product__Type_OPair(_138514, _138514), _138516), _138518)), c_Relation_OId__on(_138514, _138520)))), _138516 = _138518, hBOOL(hAPP(hAPP(c_member(_138514), _138516), _138520))], (2701 ^ _82980) ^ [_138711, _138713, _138715, _138717] : [_138711 = _138713, hBOOL(hAPP(hAPP(c_member(_138715), _138711), _138717)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_138715, _138715)), hAPP(hAPP(c_Product__Type_OPair(_138715, _138715), _138711), _138713)), c_Relation_OId__on(_138715, _138717))))], (2711 ^ _82980) ^ [_138933, _138935, _138937, _138939, _138941, _138943] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_138933, _138935, _138937, _138939, _138941), _138943)), 2715 ^ _82980 : [(2716 ^ _82980) ^ [] : [-(_138943 = hAPP(hAPP(_138939, 2714 ^ [_138933, _138935, _138937, _138939, _138941, _138943]), _138941))], (2718 ^ _82980) ^ [_139171] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_138933, _138933)), hAPP(hAPP(c_Product__Type_OPair(_138933, _138933), _139171), _138941)), _138937)), -(hBOOL(hAPP(c_Recdef_Owfrec__rel(_138933, _138935, _138937, _138939, _139171), hAPP(2714 ^ [_138933, _138935, _138937, _138939, _138941, _138943], _139171))))]]], (2724 ^ _82980) ^ [_139350, _139352, _139354, _139356, _139358, _139360] : [-(hBOOL(hAPP(c_Recdef_Owfrec__rel(_139350, _139352, _139354, _139356, _139358), _139360))), 2725 ^ _82980 : [(2726 ^ _82980) ^ [_139453] : [_139360 = hAPP(hAPP(_139356, _139453), _139358), 2730 ^ _82980 : [(2731 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_139350, _139350)), hAPP(hAPP(c_Product__Type_OPair(_139350, _139350), 2729 ^ [_139350, _139352, _139354, _139356, _139358, _139360, _139453]), _139358)), _139354)))], (2733 ^ _82980) ^ [] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_139350, _139352, _139354, _139356, 2729 ^ [_139350, _139352, _139354, _139356, _139358, _139360, _139453]), hAPP(_139453, 2729 ^ [_139350, _139352, _139354, _139356, _139358, _139360, _139453])))]]]]], (2737 ^ _82980) ^ [_139772, _139774, _139776, _139778, _139780, _139782] : [2739 ^ _82980 : [(2740 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_139772, _139772)), hAPP(hAPP(c_Product__Type_OPair(_139772, _139772), 2738 ^ [_139772, _139774, _139776, _139778, _139780, _139782]), _139774)), _139776)))], (2742 ^ _82980) ^ [] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_139772, _139778, _139776, _139780, 2738 ^ [_139772, _139774, _139776, _139778, _139780, _139782]), hAPP(_139782, 2738 ^ [_139772, _139774, _139776, _139778, _139780, _139782])))]], -(hBOOL(hAPP(c_Recdef_Owfrec__rel(_139772, _139778, _139776, _139780, _139774), hAPP(hAPP(_139780, _139782), _139774))))], (2746 ^ _82980) ^ [_140060, _140062] : [-(c_Relation_ORange(_140060, _140060, c_Relation_OId__on(_140060, _140062)) = _140062)], (2748 ^ _82980) ^ [_140092, _140094] : [-(c_Relation_ODomain(_140092, _140092, c_Relation_OId__on(_140092, _140094)) = _140094)], (2750 ^ _82980) ^ [_140124, _140126] : [-(c_Relation_Osingle__valued(_140124, _140124, c_Relation_OId__on(_140124, _140126)))], (2752 ^ _82980) ^ [_140174, _140176, _140178, _140180] : [hBOOL(hAPP(hAPP(c_member(_140174), _140176), c_Relation_ORange(_140178, _140174, _140180))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_140178, _140174)), hAPP(hAPP(c_Product__Type_OPair(_140178, _140174), 2755 ^ [_140174, _140176, _140178, _140180]), _140176)), _140180)))], (2759 ^ _82980) ^ [_140327, _140329, _140331, _140333] : [2760 ^ _82980 : [(2761 ^ _82980) ^ [_140400] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_140331, _140327)), hAPP(hAPP(c_Product__Type_OPair(_140331, _140327), _140400), _140329)), _140333))]], -(hBOOL(hAPP(hAPP(c_member(_140327), _140329), c_Relation_ORange(_140331, _140327, _140333))))], (2765 ^ _82980) ^ [_140504, _140506, _140508, _140510] : [c_Predicate_ORangeP(_140504, _140506, hAPP(hAPP(c_COMBC(_140504, tc_fun(tc_prod(_140504, _140506), tc_HOL_Obool), tc_fun(_140506, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_140506, tc_fun(tc_fun(tc_prod(_140504, _140506), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_140504, _140506), tc_HOL_Obool), tc_fun(_140506, tc_HOL_Obool)), _140504), c_COMBC(_140506, tc_fun(tc_prod(_140504, _140506), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_140506, tc_prod(_140504, _140506)), tc_fun(_140506, tc_fun(tc_fun(tc_prod(_140504, _140506), tc_HOL_Obool), tc_HOL_Obool)), _140504), hAPP(c_COMBB(tc_prod(_140504, _140506), tc_fun(tc_fun(tc_prod(_140504, _140506), tc_HOL_Obool), tc_HOL_Obool), _140506), c_member(tc_prod(_140504, _140506)))), c_Product__Type_OPair(_140504, _140506)))), _140508), _140510), -(hBOOL(hAPP(hAPP(c_member(_140506), _140510), c_Relation_ORange(_140504, _140506, _140508))))], (2771 ^ _82980) ^ [_140843, _140845, _140847, _140849] : [hBOOL(hAPP(hAPP(c_member(_140845), _140849), c_Relation_ORange(_140843, _140845, _140847))), -(c_Predicate_ORangeP(_140843, _140845, hAPP(hAPP(c_COMBC(_140843, tc_fun(tc_prod(_140843, _140845), tc_HOL_Obool), tc_fun(_140845, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_140845, tc_fun(tc_fun(tc_prod(_140843, _140845), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_140843, _140845), tc_HOL_Obool), tc_fun(_140845, tc_HOL_Obool)), _140843), c_COMBC(_140845, tc_fun(tc_prod(_140843, _140845), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_140845, tc_prod(_140843, _140845)), tc_fun(_140845, tc_fun(tc_fun(tc_prod(_140843, _140845), tc_HOL_Obool), tc_HOL_Obool)), _140843), hAPP(c_COMBB(tc_prod(_140843, _140845), tc_fun(tc_fun(tc_prod(_140843, _140845), tc_HOL_Obool), tc_HOL_Obool), _140845), c_member(tc_prod(_140843, _140845)))), c_Product__Type_OPair(_140843, _140845)))), _140847), _140849))], (2777 ^ _82980) ^ [_141188, _141190, _141192] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_141188, _141188)), _141190), c_Relation_OId__on(_141188, _141192))), 2781 ^ _82980 : [(2782 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_141188), 2780 ^ [_141188, _141190, _141192]), _141192)))], (2784 ^ _82980) ^ [] : [-(_141190 = hAPP(hAPP(c_Product__Type_OPair(_141188, _141188), 2780 ^ [_141188, _141190, _141192]), 2780 ^ [_141188, _141190, _141192]))]]], (2786 ^ _82980) ^ [_141387, _141389, _141391, _141393] : [hBOOL(hAPP(hAPP(c_member(_141387), _141389), c_Relation_ORange(_141391, _141387, _141393))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_141391, _141387)), hAPP(hAPP(c_Product__Type_OPair(_141391, _141387), 2789 ^ [_141387, _141389, _141391, _141393]), _141389)), _141393)))], (2793 ^ _82980) ^ [_141548, _141550, _141552, _141554, _141556] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_141548, _141550)), _141552), c_FuncSet_Oextensional(_141548, _141550, _141554))), hBOOL(hAPP(hAPP(c_member(tc_fun(_141548, _141550)), _141556), c_FuncSet_Oextensional(_141548, _141550, _141554))), 2803 ^ _82980 : [(2804 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_141548), 2802 ^ [_141548, _141550, _141552, _141554, _141556]), _141554)))], (2806 ^ _82980) ^ [] : [hAPP(_141552, 2802 ^ [_141548, _141550, _141552, _141554, _141556]) = hAPP(_141556, 2802 ^ [_141548, _141550, _141552, _141554, _141556])]], -(_141552 = _141556)], (2810 ^ _82980) ^ [_141929, _141931, _141933] : [2813 ^ _82980 : [(2814 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_141929, _141931)), hAPP(hAPP(c_Product__Type_OPair(_141929, _141931), 2811 ^ [_141929, _141931, _141933]), 2812 ^ [_141929, _141931, _141933])), _141933)))], (2817 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_141929, _141931)), hAPP(hAPP(c_Product__Type_OPair(_141929, _141931), 2811 ^ [_141929, _141931, _141933]), 2815 ^ [_141929, _141931, _141933])), _141933)))], (2819 ^ _82980) ^ [] : [2812 ^ [_141929, _141931, _141933] = 2815 ^ [_141929, _141931, _141933]]], -(c_Relation_Osingle__valued(_141929, _141931, _141933))], (2823 ^ _82980) ^ [_142297, _142299, _142301, _142303] : [-(c_FuncSet_Oextensional__funcset(_142297, _142299, _142301, _142303) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_142297, _142299), tc_HOL_Obool), c_FuncSet_OPi(_142297, _142299, _142301, c_COMBK(tc_fun(_142299, tc_HOL_Obool), _142297, _142303)), c_FuncSet_Oextensional(_142297, _142299, _142301)))], (2825 ^ _82980) ^ [_142357, _142359, _142361, _142363] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_142357, _142357)), hAPP(hAPP(c_Product__Type_OPair(_142357, _142357), _142359), _142361)), c_Transitive__Closure_Ortrancl(_142357, _142363))), -(_142359 = _142361), 2833 ^ _82980 : [(2834 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142357, _142357)), hAPP(hAPP(c_Product__Type_OPair(_142357, _142357), _142359), 2832 ^ [_142357, _142359, _142361, _142363])), c_Transitive__Closure_Ortrancl(_142357, _142363))))], (2836 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142357, _142357)), hAPP(hAPP(c_Product__Type_OPair(_142357, _142357), 2832 ^ [_142357, _142359, _142361, _142363]), _142361)), _142363)))]]], (2838 ^ _82980) ^ [_142653, _142655, _142657, _142659] : [hBOOL(hAPP(_142653, _142655)), hBOOL(hAPP(_142657, _142655)), -(hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_142659, tc_HOL_Obool), _142653, _142657), _142655)))], (2848 ^ _82980) ^ [_142816, _142818, _142820, _142822] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_142816, tc_HOL_Obool), _142818, _142820), _142822)), 2851 ^ _82980 : [(2852 ^ _82980) ^ [] : [-(hBOOL(hAPP(_142818, _142822)))], (2854 ^ _82980) ^ [] : [-(hBOOL(hAPP(_142820, _142822)))]]], (2856 ^ _82980) ^ [_142953, _142955, _142957, _142959, _142961] : [hBOOL(hAPP(hAPP(_142953, _142955), _142957)), -(c_Predicate_ORangeP(_142959, _142961, _142953, _142957))], (2862 ^ _82980) ^ [_143050, _143052, _143054, _143056] : [hBOOL(hAPP(hAPP(c_member(_143050), _143052), _143054)), hBOOL(hAPP(hAPP(c_member(_143050), _143052), _143056)), -(hBOOL(hAPP(hAPP(c_member(_143050), _143052), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143050, tc_HOL_Obool), _143054, _143056))))], (2872 ^ _82980) ^ [_143243, _143245, _143247, _143249] : [hBOOL(hAPP(hAPP(c_member(_143243), _143245), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143243, tc_HOL_Obool), _143247, _143249))), 2875 ^ _82980 : [(2876 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_143243), _143245), _143247)))], (2878 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_143243), _143245), _143249)))]]], (2880 ^ _82980) ^ [_143431, _143433, _143435, _143437] : [c_Predicate_ORangeP(_143431, _143433, _143435, _143437), -(hBOOL(hAPP(hAPP(_143435, 2883 ^ [_143431, _143433, _143435, _143437]), _143437)))], (2887 ^ _82980) ^ [_143538, _143540, _143542, _143544] : [2888 ^ _82980 : [(2889 ^ _82980) ^ [_143588] : [hBOOL(hAPP(hAPP(_143542, _143588), _143544))]], -(c_Predicate_ORangeP(_143538, _143540, _143542, _143544))], (2893 ^ _82980) ^ [_143648, _143650] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143648, tc_HOL_Obool), _143650, _143650) = _143650)], (2895 ^ _82980) ^ [_143680, _143682, _143684] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143680, tc_HOL_Obool), _143682, _143684) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143680, tc_HOL_Obool), _143684, _143682))], (2897 ^ _82980) ^ [_143721, _143723, _143725] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143721, tc_HOL_Obool), _143723, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143721, tc_HOL_Obool), _143723, _143725)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143721, tc_HOL_Obool), _143723, _143725))], (2899 ^ _82980) ^ [_143769, _143771, _143773, _143775] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143769, tc_HOL_Obool), _143771, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143769, tc_HOL_Obool), _143773, _143775)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143769, tc_HOL_Obool), _143773, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143769, tc_HOL_Obool), _143771, _143775)))], (2901 ^ _82980) ^ [_143826, _143828, _143830, _143832] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143826, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143826, tc_HOL_Obool), _143828, _143830), _143832) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143826, tc_HOL_Obool), _143828, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143826, tc_HOL_Obool), _143830, _143832)))], (2903 ^ _82980) ^ [_143883, _143885, _143887, _143889] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143883, tc_HOL_Obool), _143885, _143887), _143889)), -(hBOOL(hAPP(_143885, _143889)))], (2909 ^ _82980) ^ [_143986, _143988, _143990, _143992] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143986, tc_HOL_Obool), _143988, _143990), _143992)), -(hBOOL(hAPP(_143990, _143992)))], (2915 ^ _82980) ^ [_144110, _144112, _144114, _144116] : [hBOOL(hAPP(hAPP(c_member(_144110), _144112), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144110, tc_HOL_Obool), _144114, _144116))), 2918 ^ _82980 : [(2919 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_144110), _144112), _144114)))], (2921 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_144110), _144112), _144116)))]]], (2923 ^ _82980) ^ [_144269, _144271, _144273, _144275] : [-(hBOOL(hAPP(hAPP(c_member(_144269), _144271), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144269, tc_HOL_Obool), _144273, _144275)))), hBOOL(hAPP(hAPP(c_member(_144269), _144271), _144273)), hBOOL(hAPP(hAPP(c_member(_144269), _144271), _144275))], (2933 ^ _82980) ^ [_144464, _144466, _144468, _144470] : [hBOOL(hAPP(hAPP(c_member(_144464), _144466), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144464, tc_HOL_Obool), _144468, _144470))), -(hBOOL(hAPP(hAPP(c_member(_144464), _144466), _144468)))], (2939 ^ _82980) ^ [_144587, _144589, _144591, _144593] : [hBOOL(hAPP(hAPP(c_member(_144587), _144589), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144587, tc_HOL_Obool), _144591, _144593))), -(hBOOL(hAPP(hAPP(c_member(_144587), _144589), _144593)))], (2945 ^ _82980) ^ [_144731, _144733, _144735, _144737] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144731, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_144731, tc_fun(_144731, tc_HOL_Obool), tc_HOL_Obool), c_member(_144731)), _144733), hAPP(hAPP(c_COMBC(_144731, tc_fun(_144731, tc_HOL_Obool), tc_HOL_Obool), c_member(_144731)), _144735)), _144737)), -(hBOOL(hAPP(hAPP(c_member(_144731), _144737), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144731, tc_HOL_Obool), _144733, _144735))))], (2951 ^ _82980) ^ [_144914, _144916, _144918, _144920] : [hBOOL(hAPP(hAPP(c_member(_144914), _144920), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144914, tc_HOL_Obool), _144916, _144918))), -(hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144914, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_144914, tc_fun(_144914, tc_HOL_Obool), tc_HOL_Obool), c_member(_144914)), _144916), hAPP(hAPP(c_COMBC(_144914, tc_fun(_144914, tc_HOL_Obool), tc_HOL_Obool), c_member(_144914)), _144918)), _144920)))], (2957 ^ _82980) ^ [_145103, _145105, _145107, _145109, _145111] : [class_Lattices_Olattice(_145103), -(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_145105, _145103), _145107, _145109), _145111) = c_Lattices_Osemilattice__inf__class_Oinf(_145103, hAPP(_145107, _145111), hAPP(_145109, _145111)))], (2963 ^ _82980) ^ [_145224, _145226, _145228, _145230, _145232] : [class_Lattices_Olattice(_145224), -(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_145226, _145224), _145228, _145230), _145232) = c_Lattices_Osemilattice__inf__class_Oinf(_145224, hAPP(_145228, _145232), hAPP(_145230, _145232)))], (2969 ^ _82980) ^ [_145345, _145347, _145349, _145351, _145353] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145345, _145345)), hAPP(hAPP(c_Product__Type_OPair(_145345, _145345), _145347), _145349)), c_Transitive__Closure_Ortrancl(_145345, _145351))), hBOOL(hAPP(_145353, _145347)), 2979 ^ _82980 : [(2980 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145345, _145345)), hAPP(hAPP(c_Product__Type_OPair(_145345, _145345), _145347), 2978 ^ [_145345, _145347, _145349, _145351, _145353])), c_Transitive__Closure_Ortrancl(_145345, _145351))))], (2983 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145345, _145345)), hAPP(hAPP(c_Product__Type_OPair(_145345, _145345), 2978 ^ [_145345, _145347, _145349, _145351, _145353]), 2981 ^ [_145345, _145347, _145349, _145351, _145353])), _145351)))], (2985 ^ _82980) ^ [] : [-(hBOOL(hAPP(_145353, 2978 ^ [_145345, _145347, _145349, _145351, _145353])))], (2987 ^ _82980) ^ [] : [hBOOL(hAPP(_145353, 2981 ^ [_145345, _145347, _145349, _145351, _145353]))]], -(hBOOL(hAPP(_145353, _145349)))], (2991 ^ _82980) ^ [_145956, _145958, _145960, _145962, _145964] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145956, _145956)), hAPP(hAPP(c_Product__Type_OPair(_145956, _145956), _145958), _145960)), c_Transitive__Closure_Ortrancl(_145956, _145962))), hBOOL(hAPP(_145964, _145960)), 3002 ^ _82980 : [(3003 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145956, _145956)), hAPP(hAPP(c_Product__Type_OPair(_145956, _145956), 3000 ^ [_145956, _145958, _145960, _145962, _145964]), 3001 ^ [_145956, _145958, _145960, _145962, _145964])), _145962)))], (3005 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145956, _145956)), hAPP(hAPP(c_Product__Type_OPair(_145956, _145956), 3001 ^ [_145956, _145958, _145960, _145962, _145964]), _145960)), c_Transitive__Closure_Ortrancl(_145956, _145962))))], (3007 ^ _82980) ^ [] : [-(hBOOL(hAPP(_145964, 3001 ^ [_145956, _145958, _145960, _145962, _145964])))], (3009 ^ _82980) ^ [] : [hBOOL(hAPP(_145964, 3000 ^ [_145956, _145958, _145960, _145962, _145964]))]], -(hBOOL(hAPP(_145964, _145958)))], (3013 ^ _82980) ^ [_146536, _146538, _146540, _146542] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_146536, _146536)), hAPP(hAPP(c_Product__Type_OPair(_146536, _146536), _146538), _146540)), c_Transitive__Closure_Ortrancl(_146536, _146542))), -(_146538 = _146540), 3021 ^ _82980 : [(3022 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_146536, _146536)), hAPP(hAPP(c_Product__Type_OPair(_146536, _146536), _146538), 3020 ^ [_146536, _146538, _146540, _146542])), _146542)))], (3024 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_146536, _146536)), hAPP(hAPP(c_Product__Type_OPair(_146536, _146536), 3020 ^ [_146536, _146538, _146540, _146542]), _146540)), c_Transitive__Closure_Ortrancl(_146536, _146542))))]]], (3048 ^ _82980) ^ [_147339, _147341, _147343] : [3050 ^ _82980 : [(3051 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_147339), 3049 ^ [_147339, _147341, _147343]), _147341)))], (3054 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_147339), 3052 ^ [_147339, _147341, _147343]), _147341)))], (3056 ^ _82980) ^ [] : [3049 ^ [_147339, _147341, _147343] = 3052 ^ [_147339, _147341, _147343]], (3058 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147339, _147339)), hAPP(hAPP(c_Product__Type_OPair(_147339, _147339), 3049 ^ [_147339, _147341, _147343]), 3052 ^ [_147339, _147341, _147343])), _147343))], (3060 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147339, _147339)), hAPP(hAPP(c_Product__Type_OPair(_147339, _147339), 3052 ^ [_147339, _147341, _147343]), 3049 ^ [_147339, _147341, _147343])), _147343))]], -(c_Relation_Ototal__on(_147339, _147341, _147343))], (3026 ^ _82980) ^ [_146850, _146852, _146854] : [c_Relation_Ototal__on(_146850, _146852, _146854), 3029 ^ _82980 : [(3030 ^ _82980) ^ [_146994] : [hBOOL(hAPP(hAPP(c_member(_146850), _146994), _146852)), 3033 ^ _82980 : [(3034 ^ _82980) ^ [_147134] : [hBOOL(hAPP(hAPP(c_member(_146850), _147134), _146852)), -(_146994 = _147134), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146850, _146850)), hAPP(hAPP(c_Product__Type_OPair(_146850, _146850), _146994), _147134)), _146854))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146850, _146850)), hAPP(hAPP(c_Product__Type_OPair(_146850, _146850), _147134), _146994)), _146854)))]]]]], (3064 ^ _82980) ^ [_147948, _147950, _147952, _147954, _147956, _147958] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_147948, tc_fun(_147950, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_147948, tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_fun(_147950, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_147950, tc_fun(tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_fun(_147950, tc_HOL_Obool)), _147948), c_COMBC(_147950, tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_147950, tc_prod(_147948, _147950)), tc_fun(_147950, tc_fun(tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_HOL_Obool)), _147948), hAPP(c_COMBB(tc_prod(_147948, _147950), tc_fun(tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_HOL_Obool), _147950), c_member(tc_prod(_147948, _147950)))), c_Product__Type_OPair(_147948, _147950)))), _147952), hAPP(hAPP(c_COMBC(_147948, tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_fun(_147950, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_147950, tc_fun(tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_fun(_147950, tc_HOL_Obool)), _147948), c_COMBC(_147950, tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_147950, tc_prod(_147948, _147950)), tc_fun(_147950, tc_fun(tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_HOL_Obool)), _147948), hAPP(c_COMBB(tc_prod(_147948, _147950), tc_fun(tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), tc_HOL_Obool), _147950), c_member(tc_prod(_147948, _147950)))), c_Product__Type_OPair(_147948, _147950)))), _147954)), _147956), _147958)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147948, _147950)), hAPP(hAPP(c_Product__Type_OPair(_147948, _147950), _147956), _147958)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_147948, _147950), tc_HOL_Obool), _147952, _147954))))], (3070 ^ _82980) ^ [_148589, _148591, _148593, _148595, _148597, _148599] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148589, _148591)), hAPP(hAPP(c_Product__Type_OPair(_148589, _148591), _148597), _148599)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), _148593, _148595))), -(hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_148589, tc_fun(_148591, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_148589, tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_fun(_148591, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_148591, tc_fun(tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_fun(_148591, tc_HOL_Obool)), _148589), c_COMBC(_148591, tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_148591, tc_prod(_148589, _148591)), tc_fun(_148591, tc_fun(tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_HOL_Obool)), _148589), hAPP(c_COMBB(tc_prod(_148589, _148591), tc_fun(tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_HOL_Obool), _148591), c_member(tc_prod(_148589, _148591)))), c_Product__Type_OPair(_148589, _148591)))), _148593), hAPP(hAPP(c_COMBC(_148589, tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_fun(_148591, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_148591, tc_fun(tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_fun(_148591, tc_HOL_Obool)), _148589), c_COMBC(_148591, tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_148591, tc_prod(_148589, _148591)), tc_fun(_148591, tc_fun(tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_HOL_Obool)), _148589), hAPP(c_COMBB(tc_prod(_148589, _148591), tc_fun(tc_fun(tc_prod(_148589, _148591), tc_HOL_Obool), tc_HOL_Obool), _148591), c_member(tc_prod(_148589, _148591)))), c_Product__Type_OPair(_148589, _148591)))), _148595)), _148597), _148599)))], (3076 ^ _82980) ^ [_149236, _149238] : [class_Lattices_Osemilattice__inf(_149236), -(c_Lattices_Osemilattice__inf__class_Oinf(_149236, _149238, _149238) = _149238)], (3082 ^ _82980) ^ [_149319, _149321] : [class_Lattices_Osemilattice__inf(_149319), -(c_Lattices_Osemilattice__inf__class_Oinf(_149319, _149321, _149321) = _149321)], (3088 ^ _82980) ^ [_149402, _149404, _149406] : [class_Lattices_Osemilattice__inf(_149402), -(c_Lattices_Osemilattice__inf__class_Oinf(_149402, _149404, _149406) = c_Lattices_Osemilattice__inf__class_Oinf(_149402, _149406, _149404))], (3094 ^ _82980) ^ [_149495, _149497, _149499] : [class_Lattices_Olattice(_149495), -(c_Lattices_Osemilattice__inf__class_Oinf(_149495, _149497, _149499) = c_Lattices_Osemilattice__inf__class_Oinf(_149495, _149499, _149497))], (3100 ^ _82980) ^ [_149588, _149590, _149592] : [class_Lattices_Osemilattice__inf(_149588), -(c_Lattices_Osemilattice__inf__class_Oinf(_149588, _149590, _149592) = c_Lattices_Osemilattice__inf__class_Oinf(_149588, _149592, _149590))], (3106 ^ _82980) ^ [_149681, _149683, _149685] : [class_Lattices_Osemilattice__inf(_149681), -(c_Lattices_Osemilattice__inf__class_Oinf(_149681, _149683, c_Lattices_Osemilattice__inf__class_Oinf(_149681, _149683, _149685)) = c_Lattices_Osemilattice__inf__class_Oinf(_149681, _149683, _149685))], (3112 ^ _82980) ^ [_149782, _149784, _149786] : [class_Lattices_Olattice(_149782), -(c_Lattices_Osemilattice__inf__class_Oinf(_149782, _149784, c_Lattices_Osemilattice__inf__class_Oinf(_149782, _149784, _149786)) = c_Lattices_Osemilattice__inf__class_Oinf(_149782, _149784, _149786))], (3118 ^ _82980) ^ [_149883, _149885, _149887] : [class_Lattices_Osemilattice__inf(_149883), -(c_Lattices_Osemilattice__inf__class_Oinf(_149883, _149885, c_Lattices_Osemilattice__inf__class_Oinf(_149883, _149885, _149887)) = c_Lattices_Osemilattice__inf__class_Oinf(_149883, _149885, _149887))], (3124 ^ _82980) ^ [_149984, _149986, _149988, _149990] : [class_Lattices_Osemilattice__inf(_149984), -(c_Lattices_Osemilattice__inf__class_Oinf(_149984, _149986, c_Lattices_Osemilattice__inf__class_Oinf(_149984, _149988, _149990)) = c_Lattices_Osemilattice__inf__class_Oinf(_149984, _149988, c_Lattices_Osemilattice__inf__class_Oinf(_149984, _149986, _149990)))], (3130 ^ _82980) ^ [_150095, _150097, _150099, _150101] : [class_Lattices_Olattice(_150095), -(c_Lattices_Osemilattice__inf__class_Oinf(_150095, _150097, c_Lattices_Osemilattice__inf__class_Oinf(_150095, _150099, _150101)) = c_Lattices_Osemilattice__inf__class_Oinf(_150095, _150099, c_Lattices_Osemilattice__inf__class_Oinf(_150095, _150097, _150101)))], (3136 ^ _82980) ^ [_150206, _150208, _150210, _150212] : [class_Lattices_Osemilattice__inf(_150206), -(c_Lattices_Osemilattice__inf__class_Oinf(_150206, _150208, c_Lattices_Osemilattice__inf__class_Oinf(_150206, _150210, _150212)) = c_Lattices_Osemilattice__inf__class_Oinf(_150206, _150210, c_Lattices_Osemilattice__inf__class_Oinf(_150206, _150208, _150212)))], (3142 ^ _82980) ^ [_150317, _150319, _150321, _150323] : [class_Lattices_Osemilattice__inf(_150317), -(c_Lattices_Osemilattice__inf__class_Oinf(_150317, c_Lattices_Osemilattice__inf__class_Oinf(_150317, _150319, _150321), _150323) = c_Lattices_Osemilattice__inf__class_Oinf(_150317, _150319, c_Lattices_Osemilattice__inf__class_Oinf(_150317, _150321, _150323)))], (3148 ^ _82980) ^ [_150428, _150430, _150432, _150434] : [class_Lattices_Olattice(_150428), -(c_Lattices_Osemilattice__inf__class_Oinf(_150428, c_Lattices_Osemilattice__inf__class_Oinf(_150428, _150430, _150432), _150434) = c_Lattices_Osemilattice__inf__class_Oinf(_150428, _150430, c_Lattices_Osemilattice__inf__class_Oinf(_150428, _150432, _150434)))], (3154 ^ _82980) ^ [_150539, _150541, _150543, _150545] : [class_Lattices_Osemilattice__inf(_150539), -(c_Lattices_Osemilattice__inf__class_Oinf(_150539, c_Lattices_Osemilattice__inf__class_Oinf(_150539, _150541, _150543), _150545) = c_Lattices_Osemilattice__inf__class_Oinf(_150539, _150541, c_Lattices_Osemilattice__inf__class_Oinf(_150539, _150543, _150545)))], (3160 ^ _82980) ^ [_150677, _150679, _150681, _150683, _150685, _150687] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_150677, _150677)), hAPP(hAPP(c_Product__Type_OPair(_150677, _150677), _150679), _150681)), hAPP(hAPP(c_Relation_Oinv__image(_150683, _150677), _150685), _150687))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_150683, _150683)), hAPP(hAPP(c_Product__Type_OPair(_150683, _150683), hAPP(_150687, _150679)), hAPP(_150687, _150681))), _150685)))], (3166 ^ _82980) ^ [_150864, _150866, _150868, _150870, _150872, _150874] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_150870, _150870)), hAPP(hAPP(c_Product__Type_OPair(_150870, _150870), hAPP(_150874, _150866)), hAPP(_150874, _150868))), _150872)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_150864, _150864)), hAPP(hAPP(c_Product__Type_OPair(_150864, _150864), _150866), _150868)), hAPP(hAPP(c_Relation_Oinv__image(_150870, _150864), _150872), _150874))))], (3172 ^ _82980) ^ [_151057, _151059, _151061, _151063] : [c_Relation_Orefl__on(_151057, _151059, _151061), hBOOL(hAPP(hAPP(c_member(_151057), _151063), _151059)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_151057, _151057)), hAPP(hAPP(c_Product__Type_OPair(_151057, _151057), _151063), _151063)), _151061)))], (3182 ^ _82980) ^ [_151248, _151250, _151252, _151254, _151256] : [c_Relation_Orefl__on(_151248, _151250, _151252), hBOOL(hAPP(hAPP(c_member(tc_prod(_151248, _151248)), hAPP(hAPP(c_Product__Type_OPair(_151248, _151248), _151254), _151256)), _151252)), -(hBOOL(hAPP(hAPP(c_member(_151248), _151256), _151250)))], (3192 ^ _82980) ^ [_151443, _151445, _151447, _151449, _151451] : [c_Relation_Orefl__on(_151443, _151445, _151447), hBOOL(hAPP(hAPP(c_member(tc_prod(_151443, _151443)), hAPP(hAPP(c_Product__Type_OPair(_151443, _151443), _151449), _151451)), _151447)), -(hBOOL(hAPP(hAPP(c_member(_151443), _151449), _151445)))], (3202 ^ _82980) ^ [_151638, _151640, _151642, _151644] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_151638, _151638)), hAPP(hAPP(c_Product__Type_OPair(_151638, _151638), _151640), _151642)), c_Transitive__Closure_Otrancl(_151638, _151644))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_151638, _151638)), hAPP(hAPP(c_Product__Type_OPair(_151638, _151638), _151640), _151642)), c_Transitive__Closure_Ortrancl(_151638, _151644))))], (3208 ^ _82980) ^ [_151828, _151830, _151832, _151834] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_151828, hAPP(hAPP(c_COMBC(_151828, tc_fun(tc_prod(_151828, _151828), tc_HOL_Obool), tc_fun(_151828, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_151828, tc_fun(tc_fun(tc_prod(_151828, _151828), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_151828, _151828), tc_HOL_Obool), tc_fun(_151828, tc_HOL_Obool)), _151828), c_COMBC(_151828, tc_fun(tc_prod(_151828, _151828), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_151828, tc_prod(_151828, _151828)), tc_fun(_151828, tc_fun(tc_fun(tc_prod(_151828, _151828), tc_HOL_Obool), tc_HOL_Obool)), _151828), hAPP(c_COMBB(tc_prod(_151828, _151828), tc_fun(tc_fun(tc_prod(_151828, _151828), tc_HOL_Obool), tc_HOL_Obool), _151828), c_member(tc_prod(_151828, _151828)))), c_Product__Type_OPair(_151828, _151828)))), _151830)), _151832), _151834)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_151828, _151828)), hAPP(hAPP(c_Product__Type_OPair(_151828, _151828), _151832), _151834)), c_Transitive__Closure_Ortrancl(_151828, _151830))))], (3214 ^ _82980) ^ [_152201, _152203, _152205, _152207] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_152201, _152201)), hAPP(hAPP(c_Product__Type_OPair(_152201, _152201), _152205), _152207)), c_Transitive__Closure_Ortrancl(_152201, _152203))), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_152201, hAPP(hAPP(c_COMBC(_152201, tc_fun(tc_prod(_152201, _152201), tc_HOL_Obool), tc_fun(_152201, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_152201, tc_fun(tc_fun(tc_prod(_152201, _152201), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_152201, _152201), tc_HOL_Obool), tc_fun(_152201, tc_HOL_Obool)), _152201), c_COMBC(_152201, tc_fun(tc_prod(_152201, _152201), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_152201, tc_prod(_152201, _152201)), tc_fun(_152201, tc_fun(tc_fun(tc_prod(_152201, _152201), tc_HOL_Obool), tc_HOL_Obool)), _152201), hAPP(c_COMBB(tc_prod(_152201, _152201), tc_fun(tc_fun(tc_prod(_152201, _152201), tc_HOL_Obool), tc_HOL_Obool), _152201), c_member(tc_prod(_152201, _152201)))), c_Product__Type_OPair(_152201, _152201)))), _152203)), _152205), _152207)))], (3220 ^ _82980) ^ [_152580, _152582, _152584] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_152580, _152582), _152584), _152584)))], (3222 ^ _82980) ^ [_152615, _152617, _152619, _152621] : [hBOOL(hAPP(hAPP(_152615, _152617), _152619)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_152621, _152615), _152617), _152619)))], (3228 ^ _82980) ^ [_152722, _152724, _152726, _152728, _152730, _152732] : [hBOOL(hAPP(hAPP(_152722, _152724), _152726)), hBOOL(hAPP(hAPP(_152728, _152724), _152726)), -(hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_152730, tc_fun(_152732, tc_HOL_Obool)), _152722, _152728), _152724), _152726)))], (3238 ^ _82980) ^ [_152917, _152919, _152921, _152923, _152925, _152927] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_152917, tc_fun(_152919, tc_HOL_Obool)), _152921, _152923), _152925), _152927)), 3241 ^ _82980 : [(3242 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(_152921, _152925), _152927)))], (3244 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(_152923, _152925), _152927)))]]], (3246 ^ _82980) ^ [_153082, _153084, _153086, _153088] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_153082, _153082)), hAPP(hAPP(c_Product__Type_OPair(_153082, _153082), _153084), _153086)), _153088)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_153082, _153082)), hAPP(hAPP(c_Product__Type_OPair(_153082, _153082), _153084), _153086)), c_Transitive__Closure_Otrancl(_153082, _153088))))], (3252 ^ _82980) ^ [_153245, _153247, _153249, _153251, _153253, _153255] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_153245, tc_fun(_153247, tc_HOL_Obool)), _153249, _153251), _153253), _153255)), -(hBOOL(hAPP(hAPP(_153249, _153253), _153255)))], (3258 ^ _82980) ^ [_153370, _153372, _153374, _153376, _153378, _153380] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_153370, tc_fun(_153372, tc_HOL_Obool)), _153374, _153376), _153378), _153380)), -(hBOOL(hAPP(hAPP(_153376, _153378), _153380)))], (3264 ^ _82980) ^ [_153495, _153497] : [-(c_Transitive__Closure_Ortranclp(_153495, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_153495, tc_fun(_153495, tc_HOL_Obool)), _153497, hAPP(hAPP(c_COMBB(tc_fun(_153495, tc_HOL_Obool), tc_fun(_153495, tc_HOL_Obool), _153495), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _153495), c_fNot)), c_fequal))) = c_Transitive__Closure_Ortranclp(_153495, _153497))], (3266 ^ _82980) ^ [_153559, _153561] : [-(c_Transitive__Closure_Ortranclp(_153559, c_Transitive__Closure_Ortranclp(_153559, _153561)) = c_Transitive__Closure_Ortranclp(_153559, _153561))], (3268 ^ _82980) ^ [_153593, _153595, _153597] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_153593, _153595), _153597), _153597)))], (3270 ^ _82980) ^ [_153649, _153651, _153653, _153655] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_153649, _153651), _153653), _153655)), -(_153655 = _153653), 3278 ^ _82980 : [(3279 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_153649, _153651), _153653), 3277 ^ [_153649, _153651, _153653, _153655])))], (3281 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(_153651, 3277 ^ [_153649, _153651, _153653, _153655]), _153655)))]]], (3283 ^ _82980) ^ [_153851, _153853, _153855, _153857] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_153851, _153853), _153855), _153857))), 3284 ^ _82980 : [(3285 ^ _82980) ^ [] : [_153857 = _153855], (3287 ^ _82980) ^ [_153948] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_153851, _153853), _153855), _153948)), hBOOL(hAPP(hAPP(_153853, _153948), _153857))]]], (3295 ^ _82980) ^ [_154096, _154098, _154100, _154102, _154104] : [hBOOL(hAPP(hAPP(_154096, _154098), _154100)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_154102, _154096), _154100), _154104)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_154102, _154096), _154098), _154104)))], (3305 ^ _82980) ^ [_154279, _154281, _154283, _154285, _154287] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_154279, _154281), _154283), _154285)), hBOOL(hAPP(hAPP(_154281, _154285), _154287)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_154279, _154281), _154283), _154287)))], (3315 ^ _82980) ^ [_154462, _154464, _154466, _154468, _154470] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_154462, _154464), _154466), _154468)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_154462, _154464), _154468), _154470)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_154462, _154464), _154466), _154470)))], (3325 ^ _82980) ^ [_154651, _154653, _154655] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_154651, _154651)), _154653), _154655)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_154651, _154651)), _154653), c_Transitive__Closure_Otrancl(_154651, _154655))))], (3331 ^ _82980) ^ [_154776, _154778] : [-(c_Transitive__Closure_Otrancl(_154776, c_Transitive__Closure_Ortrancl(_154776, _154778)) = c_Transitive__Closure_Ortrancl(_154776, _154778))], (3333 ^ _82980) ^ [_154810, _154812] : [-(c_Transitive__Closure_Ortrancl(_154810, c_Transitive__Closure_Otrancl(_154810, _154812)) = c_Transitive__Closure_Ortrancl(_154810, _154812))], (3335 ^ _82980) ^ [_154844, _154846] : [-(c_Relation_ODomain(_154844, _154844, c_Transitive__Closure_Otrancl(_154844, _154846)) = c_Relation_ODomain(_154844, _154844, _154846))], (3337 ^ _82980) ^ [_154880, _154882] : [-(c_Relation_ORange(_154880, _154880, c_Transitive__Closure_Otrancl(_154880, _154882)) = c_Relation_ORange(_154880, _154880, _154882))], (3339 ^ _82980) ^ [_154916, _154918, _154920, _154922] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_154916, _154918), _154920)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_154916, _154918), _154922), _154920)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_154916, _154918), _154922)))], (3349 ^ _82980) ^ [_155089, _155091, _155093, _155095] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_155089, _155091), _155093), _155095)), hBOOL(hAPP(c_Wellfounded_Oaccp(_155089, _155091), _155095)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_155089, _155091), _155093)))], (3359 ^ _82980) ^ [_155262, _155264, _155266, _155268, _155270] : [c_Relation_Orefl__on(_155262, _155264, _155266), c_Relation_Orefl__on(_155262, _155268, _155270), -(c_Relation_Orefl__on(_155262, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_155262, tc_HOL_Obool), _155264, _155268), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_155262, _155262), tc_HOL_Obool), _155266, _155270)))], (3369 ^ _82980) ^ [_155443, _155445] : [-(c_Relation_Orefl__on(_155443, _155445, c_Relation_OId__on(_155443, _155445)))], (3371 ^ _82980) ^ [_155472, _155474, _155476, _155478, _155480] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_155472, _155472)), hAPP(hAPP(c_Product__Type_OPair(_155472, _155472), _155474), _155476)), _155478)), hBOOL(hAPP(hAPP(c_member(tc_prod(_155472, _155472)), hAPP(hAPP(c_Product__Type_OPair(_155472, _155472), _155476), _155480)), _155478)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_155472, _155472)), hAPP(hAPP(c_Product__Type_OPair(_155472, _155472), _155474), _155480)), c_Transitive__Closure_Otrancl(_155472, _155478))))], (3381 ^ _82980) ^ [_155733, _155735, _155737, _155739, _155741] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_155733, _155733)), hAPP(hAPP(c_Product__Type_OPair(_155733, _155733), _155735), _155737)), _155739)), hBOOL(hAPP(hAPP(c_member(tc_prod(_155733, _155733)), hAPP(hAPP(c_Product__Type_OPair(_155733, _155733), _155737), _155741)), c_Transitive__Closure_Otrancl(_155733, _155739))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_155733, _155733)), hAPP(hAPP(c_Product__Type_OPair(_155733, _155733), _155735), _155741)), c_Transitive__Closure_Otrancl(_155733, _155739))))], (3391 ^ _82980) ^ [_156000, _156002, _156004, _156006, _156008] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_156000, _156000)), hAPP(hAPP(c_Product__Type_OPair(_156000, _156000), _156002), _156004)), c_Transitive__Closure_Otrancl(_156000, _156006))), hBOOL(hAPP(hAPP(c_member(tc_prod(_156000, _156000)), hAPP(hAPP(c_Product__Type_OPair(_156000, _156000), _156004), _156008)), _156006)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_156000, _156000)), hAPP(hAPP(c_Product__Type_OPair(_156000, _156000), _156002), _156008)), c_Transitive__Closure_Otrancl(_156000, _156006))))], (3401 ^ _82980) ^ [_156267, _156269, _156271, _156273, _156275] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_156267, _156267)), hAPP(hAPP(c_Product__Type_OPair(_156267, _156267), _156269), _156271)), c_Transitive__Closure_Otrancl(_156267, _156273))), hBOOL(hAPP(hAPP(c_member(tc_prod(_156267, _156267)), hAPP(hAPP(c_Product__Type_OPair(_156267, _156267), _156271), _156275)), c_Transitive__Closure_Otrancl(_156267, _156273))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_156267, _156267)), hAPP(hAPP(c_Product__Type_OPair(_156267, _156267), _156269), _156275)), c_Transitive__Closure_Otrancl(_156267, _156273))))], (3411 ^ _82980) ^ [_156561, _156563, _156565, _156567] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_156561, _156561)), hAPP(hAPP(c_Product__Type_OPair(_156561, _156561), _156563), _156565)), c_Transitive__Closure_Ortrancl(_156561, _156567))), -(_156563 = _156565), 3418 ^ _82980 : [(3419 ^ _82980) ^ [] : [_156563 = _156565], (3421 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_156561, _156561)), hAPP(hAPP(c_Product__Type_OPair(_156561, _156561), _156563), _156565)), c_Transitive__Closure_Otrancl(_156561, _156567))))]]], (3423 ^ _82980) ^ [_156819, _156821, _156823, _156825] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_156819, _156819)), hAPP(hAPP(c_Product__Type_OPair(_156819, _156819), _156821), _156823)), c_Transitive__Closure_Ortrancl(_156819, _156825)))), 3424 ^ _82980 : [(3425 ^ _82980) ^ [] : [_156821 = _156823], (3427 ^ _82980) ^ [] : [-(_156821 = _156823), hBOOL(hAPP(hAPP(c_member(tc_prod(_156819, _156819)), hAPP(hAPP(c_Product__Type_OPair(_156819, _156819), _156821), _156823)), c_Transitive__Closure_Otrancl(_156819, _156825)))]]], (3435 ^ _82980) ^ [_157085, _157087, _157089, _157091, _157093] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_157085, _157085)), hAPP(hAPP(c_Product__Type_OPair(_157085, _157085), _157087), _157089)), _157091)), hBOOL(hAPP(hAPP(c_member(tc_prod(_157085, _157085)), hAPP(hAPP(c_Product__Type_OPair(_157085, _157085), _157089), _157093)), c_Transitive__Closure_Ortrancl(_157085, _157091))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_157085, _157085)), hAPP(hAPP(c_Product__Type_OPair(_157085, _157085), _157087), _157093)), c_Transitive__Closure_Otrancl(_157085, _157091))))], (3445 ^ _82980) ^ [_157352, _157354, _157356, _157358] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_157352, _157352)), hAPP(hAPP(c_Product__Type_OPair(_157352, _157352), _157354), _157356)), c_Transitive__Closure_Ortrancl(_157352, _157358))), -(_157354 = _157356), 3452 ^ _82980 : [(3453 ^ _82980) ^ [] : [_157354 = _157356], (3455 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_157352, _157352)), hAPP(hAPP(c_Product__Type_OPair(_157352, _157352), _157354), _157356)), c_Transitive__Closure_Otrancl(_157352, _157358))))]]], (3457 ^ _82980) ^ [_157614, _157616, _157618, _157620, _157622] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_157614, _157614)), hAPP(hAPP(c_Product__Type_OPair(_157614, _157614), _157616), _157618)), c_Transitive__Closure_Ortrancl(_157614, _157620))), hBOOL(hAPP(hAPP(c_member(tc_prod(_157614, _157614)), hAPP(hAPP(c_Product__Type_OPair(_157614, _157614), _157618), _157622)), _157620)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_157614, _157614)), hAPP(hAPP(c_Product__Type_OPair(_157614, _157614), _157616), _157622)), c_Transitive__Closure_Otrancl(_157614, _157620))))], (3467 ^ _82980) ^ [_157881, _157883, _157885, _157887, _157889] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_157881, _157881)), hAPP(hAPP(c_Product__Type_OPair(_157881, _157881), _157883), _157885)), c_Transitive__Closure_Otrancl(_157881, _157887))), hBOOL(hAPP(hAPP(c_member(tc_prod(_157881, _157881)), hAPP(hAPP(c_Product__Type_OPair(_157881, _157881), _157885), _157889)), c_Transitive__Closure_Ortrancl(_157881, _157887))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_157881, _157881)), hAPP(hAPP(c_Product__Type_OPair(_157881, _157881), _157883), _157889)), c_Transitive__Closure_Otrancl(_157881, _157887))))], (3477 ^ _82980) ^ [_158154, _158156, _158158, _158160, _158162] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158154, _158154)), hAPP(hAPP(c_Product__Type_OPair(_158154, _158154), _158156), _158158)), c_Transitive__Closure_Ortrancl(_158154, _158160))), hBOOL(hAPP(hAPP(c_member(tc_prod(_158154, _158154)), hAPP(hAPP(c_Product__Type_OPair(_158154, _158154), _158158), _158162)), c_Transitive__Closure_Otrancl(_158154, _158160))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158154, _158154)), hAPP(hAPP(c_Product__Type_OPair(_158154, _158154), _158156), _158162)), c_Transitive__Closure_Otrancl(_158154, _158160))))], (3487 ^ _82980) ^ [_158427, _158429, _158431, _158433] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158427, _158427)), hAPP(hAPP(c_Product__Type_OPair(_158427, _158427), _158429), _158431)), c_Transitive__Closure_Otrancl(_158427, _158433))), 3491 ^ _82980 : [(3492 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_158427, _158427)), hAPP(hAPP(c_Product__Type_OPair(_158427, _158427), _158429), 3490 ^ [_158427, _158429, _158431, _158433])), c_Transitive__Closure_Ortrancl(_158427, _158433))))], (3494 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_158427, _158427)), hAPP(hAPP(c_Product__Type_OPair(_158427, _158427), 3490 ^ [_158427, _158429, _158431, _158433]), _158431)), _158433)))]]], (3496 ^ _82980) ^ [_158687, _158689, _158691, _158693] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158687, _158687)), hAPP(hAPP(c_Product__Type_OPair(_158687, _158687), _158689), _158691)), c_Transitive__Closure_Otrancl(_158687, _158693))), 3500 ^ _82980 : [(3501 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_158687, _158687)), hAPP(hAPP(c_Product__Type_OPair(_158687, _158687), _158689), 3499 ^ [_158687, _158689, _158691, _158693])), _158693)))], (3503 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_158687, _158687)), hAPP(hAPP(c_Product__Type_OPair(_158687, _158687), 3499 ^ [_158687, _158689, _158691, _158693]), _158691)), c_Transitive__Closure_Ortrancl(_158687, _158693))))]]], (3505 ^ _82980) ^ [_158962, _158964] : [c_Wellfounded_Oacyclic(_158962, _158964), 3508 ^ _82980 : [(3509 ^ _82980) ^ [_159047] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158962, _158962)), hAPP(hAPP(c_Product__Type_OPair(_158962, _158962), _159047), _159047)), c_Transitive__Closure_Otrancl(_158962, _158964)))]]], (3511 ^ _82980) ^ [_159090, _159092] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159090, _159090)), hAPP(hAPP(c_Product__Type_OPair(_159090, _159090), 3512 ^ [_159090, _159092]), 3512 ^ [_159090, _159092])), c_Transitive__Closure_Otrancl(_159090, _159092)))), -(c_Wellfounded_Oacyclic(_159090, _159092))], (3518 ^ _82980) ^ [_159163, _159165, _159167, _159169] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159163, _159163)), hAPP(hAPP(c_Product__Type_OPair(_159163, _159163), 3519 ^ [_159163, _159165, _159167, _159169]), 3519 ^ [_159163, _159165, _159167, _159169])), c_Transitive__Closure_Otrancl(_159163, _159165)))), hBOOL(hAPP(hAPP(c_member(tc_prod(_159163, _159163)), hAPP(hAPP(c_Product__Type_OPair(_159163, _159163), _159167), _159169)), _159165)), _159167 = _159169], (3529 ^ _82980) ^ [_159381, _159383, _159385, _159387] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_159381, _159381)), hAPP(hAPP(c_Product__Type_OPair(_159381, _159381), _159383), _159385)), c_Transitive__Closure_Otrancl(_159381, _159387))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_159381, _159381)), hAPP(hAPP(c_Product__Type_OPair(_159381, _159381), _159383), _159385)), _159387))), 3537 ^ _82980 : [(3538 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159381, _159381)), hAPP(hAPP(c_Product__Type_OPair(_159381, _159381), _159383), 3536 ^ [_159381, _159383, _159385, _159387])), _159387)))], (3540 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159381, _159381)), hAPP(hAPP(c_Product__Type_OPair(_159381, _159381), 3536 ^ [_159381, _159383, _159385, _159387]), _159385)), c_Transitive__Closure_Otrancl(_159381, _159387))))]]], (3542 ^ _82980) ^ [_159711, _159713] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159711, _159711)), hAPP(hAPP(c_Product__Type_OPair(_159711, _159711), 3543 ^ [_159711, _159713]), 3543 ^ [_159711, _159713])), c_Transitive__Closure_Otrancl(_159711, _159713)))), -(c_Wellfounded_Oacyclic(_159711, _159713))], (3549 ^ _82980) ^ [_159804, _159806, _159808, _159810] : [c_Wellfounded_Oacyclic(_159804, c_Set_Oinsert(tc_prod(_159804, _159804), hAPP(hAPP(c_Product__Type_OPair(_159804, _159804), _159806), _159808), _159810)), 3552 ^ _82980 : [(3553 ^ _82980) ^ [] : [-(c_Wellfounded_Oacyclic(_159804, _159810))], (3555 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_159804, _159804)), hAPP(hAPP(c_Product__Type_OPair(_159804, _159804), _159808), _159806)), c_Transitive__Closure_Ortrancl(_159804, _159810)))]]], (3557 ^ _82980) ^ [_159991, _159993, _159995, _159997] : [-(c_Wellfounded_Oacyclic(_159991, c_Set_Oinsert(tc_prod(_159991, _159991), hAPP(hAPP(c_Product__Type_OPair(_159991, _159991), _159993), _159995), _159997))), c_Wellfounded_Oacyclic(_159991, _159997), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_159991, _159991)), hAPP(hAPP(c_Product__Type_OPair(_159991, _159991), _159995), _159993)), c_Transitive__Closure_Ortrancl(_159991, _159997))))], (3567 ^ _82980) ^ [_160209, _160211, _160213, _160215] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160209, _160209)), hAPP(hAPP(c_Product__Type_OPair(_160209, _160209), _160211), _160213)), c_Transitive__Closure_Otrancl(_160209, _160215))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_160209, _160209)), hAPP(hAPP(c_Product__Type_OPair(_160209, _160209), _160211), _160213)), _160215))), 3575 ^ _82980 : [(3576 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_160209, _160209)), hAPP(hAPP(c_Product__Type_OPair(_160209, _160209), _160211), 3574 ^ [_160209, _160211, _160213, _160215])), c_Transitive__Closure_Otrancl(_160209, _160215))))], (3578 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_160209, _160209)), hAPP(hAPP(c_Product__Type_OPair(_160209, _160209), 3574 ^ [_160209, _160211, _160213, _160215]), _160213)), _160215)))]]], (3580 ^ _82980) ^ [_160564, _160566, _160568, _160570] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_160564, hAPP(hAPP(c_COMBC(_160564, tc_fun(tc_prod(_160564, _160564), tc_HOL_Obool), tc_fun(_160564, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_160564, tc_fun(tc_fun(tc_prod(_160564, _160564), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_160564, _160564), tc_HOL_Obool), tc_fun(_160564, tc_HOL_Obool)), _160564), c_COMBC(_160564, tc_fun(tc_prod(_160564, _160564), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_160564, tc_prod(_160564, _160564)), tc_fun(_160564, tc_fun(tc_fun(tc_prod(_160564, _160564), tc_HOL_Obool), tc_HOL_Obool)), _160564), hAPP(c_COMBB(tc_prod(_160564, _160564), tc_fun(tc_fun(tc_prod(_160564, _160564), tc_HOL_Obool), tc_HOL_Obool), _160564), c_member(tc_prod(_160564, _160564)))), c_Product__Type_OPair(_160564, _160564)))), _160566)), _160568), _160570)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_160564, _160564)), hAPP(hAPP(c_Product__Type_OPair(_160564, _160564), _160568), _160570)), c_Transitive__Closure_Otrancl(_160564, _160566))))], (3586 ^ _82980) ^ [_160937, _160939, _160941, _160943] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160937, _160937)), hAPP(hAPP(c_Product__Type_OPair(_160937, _160937), _160941), _160943)), c_Transitive__Closure_Otrancl(_160937, _160939))), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_160937, hAPP(hAPP(c_COMBC(_160937, tc_fun(tc_prod(_160937, _160937), tc_HOL_Obool), tc_fun(_160937, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_160937, tc_fun(tc_fun(tc_prod(_160937, _160937), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_160937, _160937), tc_HOL_Obool), tc_fun(_160937, tc_HOL_Obool)), _160937), c_COMBC(_160937, tc_fun(tc_prod(_160937, _160937), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_160937, tc_prod(_160937, _160937)), tc_fun(_160937, tc_fun(tc_fun(tc_prod(_160937, _160937), tc_HOL_Obool), tc_HOL_Obool)), _160937), hAPP(c_COMBB(tc_prod(_160937, _160937), tc_fun(tc_fun(tc_prod(_160937, _160937), tc_HOL_Obool), tc_HOL_Obool), _160937), c_member(tc_prod(_160937, _160937)))), c_Product__Type_OPair(_160937, _160937)))), _160939)), _160941), _160943)))], (3592 ^ _82980) ^ [_161316, _161318, _161320, _161322] : [hBOOL(hAPP(hAPP(_161316, _161318), _161320)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_161322, _161316), _161318), _161320)))], (3598 ^ _82980) ^ [_161423, _161425, _161427, _161429] : [hBOOL(hAPP(hAPP(c_member(_161423), _161425), c_Set_Oinsert(_161423, _161427, _161429))), -(_161425 = _161427), -(hBOOL(hAPP(hAPP(c_member(_161423), _161425), _161429)))], (3608 ^ _82980) ^ [_161555, _161557, _161559, _161561] : [3609 ^ _82980 : [(3610 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_161555), _161557), _161559))], (3612 ^ _82980) ^ [] : [_161557 = _161561]], -(hBOOL(hAPP(hAPP(c_member(_161555), _161557), c_Set_Oinsert(_161555, _161561, _161559))))], (3616 ^ _82980) ^ [_161712, _161714, _161716, _161718] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161712, tc_HOL_Obool), c_Set_Oinsert(_161712, _161714, _161716), c_Set_Oinsert(_161712, _161714, _161718)) = c_Set_Oinsert(_161712, _161714, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161712, tc_HOL_Obool), _161716, _161718)))], (3618 ^ _82980) ^ [_161767, _161769, _161771] : [-(c_Set_Oinsert(_161767, _161769, c_Set_Oinsert(_161767, _161769, _161771)) = c_Set_Oinsert(_161767, _161769, _161771))], (3620 ^ _82980) ^ [_161806, _161808, _161810, _161812] : [-(c_Set_Oinsert(_161806, _161808, c_Set_Oinsert(_161806, _161810, _161812)) = c_Set_Oinsert(_161806, _161810, c_Set_Oinsert(_161806, _161808, _161812)))], (3632 ^ _82980) ^ [_161978, _161980, _161982, _161984] : [3633 ^ _82980 : [(3634 ^ _82980) ^ [] : [_161980 = _161984], (3636 ^ _82980) ^ [] : [hBOOL(hAPP(_161982, _161984))]], -(hBOOL(hAPP(c_Set_Oinsert(_161978, _161980, _161982), _161984)))], (3622 ^ _82980) ^ [_161872, _161874, _161876, _161878] : [hBOOL(hAPP(c_Set_Oinsert(_161872, _161874, _161876), _161878)), -(_161874 = _161878), -(hBOOL(hAPP(_161876, _161878)))], (3640 ^ _82980) ^ [_162136, _162138, _162140, _162142] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_162136, _162138), _162140), _162142)), -(hBOOL(hAPP(hAPP(_162138, _162140), _162142))), 3648 ^ _82980 : [(3649 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_162136, _162138), _162140), 3647 ^ [_162136, _162138, _162140, _162142])))], (3651 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(_162138, 3647 ^ [_162136, _162138, _162140, _162142]), _162142)))]]], (3653 ^ _82980) ^ [_162348, _162350, _162352, _162354] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_162348, _162350), _162352), _162354))), 3654 ^ _82980 : [(3655 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(_162350, _162352), _162354))], (3657 ^ _82980) ^ [_162455] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_162348, _162350), _162352), _162455)), hBOOL(hAPP(hAPP(_162350, _162455), _162354))]]], (3665 ^ _82980) ^ [_162624, _162626, _162628, _162630] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_162624, _162626), _162628), _162630)), -(hBOOL(hAPP(hAPP(_162626, _162628), _162630))), 3673 ^ _82980 : [(3674 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_162624, _162626), _162628), 3672 ^ [_162624, _162626, _162628, _162630])))], (3676 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(_162626, 3672 ^ [_162624, _162626, _162628, _162630]), _162630)))]]], (3678 ^ _82980) ^ [_162836, _162838, _162840, _162842] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_162836, _162838), _162840), _162842))), 3679 ^ _82980 : [(3680 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(_162838, _162840), _162842))], (3682 ^ _82980) ^ [_162943] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_162836, _162838), _162840), _162943)), hBOOL(hAPP(hAPP(_162838, _162943), _162842))]]], (3690 ^ _82980) ^ [_163091, _163093, _163095, _163097, _163099] : [hBOOL(hAPP(hAPP(_163091, _163093), _163095)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_163097, _163091), _163095), _163099)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_163097, _163091), _163093), _163099)))], (3700 ^ _82980) ^ [_163274, _163276, _163278, _163280, _163282] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_163274, _163276), _163278), _163280)), hBOOL(hAPP(hAPP(_163276, _163280), _163282)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_163274, _163276), _163278), _163282)))], (3710 ^ _82980) ^ [_163457, _163459, _163461, _163463, _163465] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_163457, _163459), _163461), _163463)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_163457, _163459), _163463), _163465)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_163457, _163459), _163461), _163465)))], (3720 ^ _82980) ^ [_163646, _163648, _163650] : [hBOOL(hAPP(hAPP(c_member(_163646), _163648), _163650)), -(c_Set_Oinsert(_163646, _163648, _163650) = _163650)], (3726 ^ _82980) ^ [_163747, _163749, _163751, _163753] : [hBOOL(hAPP(hAPP(c_member(_163747), _163749), _163751)), -(hBOOL(hAPP(hAPP(c_member(_163747), _163749), c_Set_Oinsert(_163747, _163753, _163751))))], (3732 ^ _82980) ^ [_163863, _163865, _163867, _163869] : [-(hBOOL(hAPP(hAPP(c_member(_163863), _163865), _163867))), -(hBOOL(hAPP(hAPP(c_member(_163863), _163865), _163869))), 3739 ^ _82980 : [(3740 ^ _82980) ^ [] : [c_Set_Oinsert(_163863, _163865, _163867) = c_Set_Oinsert(_163863, _163865, _163869), -(_163867 = _163869)], (3746 ^ _82980) ^ [] : [_163867 = _163869, -(c_Set_Oinsert(_163863, _163865, _163867) = c_Set_Oinsert(_163863, _163865, _163869))]]], (3762 ^ _82980) ^ [_164331, _164333, _164335, _164337] : [3763 ^ _82980 : [(3764 ^ _82980) ^ [] : [_164333 = _164335], (3766 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(_164331), _164333), _164337))]], -(hBOOL(hAPP(hAPP(c_member(_164331), _164333), c_Set_Oinsert(_164331, _164335, _164337))))], (3752 ^ _82980) ^ [_164205, _164207, _164209, _164211] : [hBOOL(hAPP(hAPP(c_member(_164205), _164207), c_Set_Oinsert(_164205, _164209, _164211))), -(_164207 = _164209), -(hBOOL(hAPP(hAPP(c_member(_164205), _164207), _164211)))], (3770 ^ _82980) ^ [_164488, _164490, _164492] : [-(hBOOL(hAPP(hAPP(c_member(_164488), _164490), c_Set_Oinsert(_164488, _164490, _164492))))], (3772 ^ _82980) ^ [_164526, _164528, _164530, _164532, _164534] : [-(c_Relation_ORange(_164526, _164528, c_Set_Oinsert(tc_prod(_164526, _164528), hAPP(hAPP(c_Product__Type_OPair(_164526, _164528), _164530), _164532), _164534)) = c_Set_Oinsert(_164528, _164532, c_Relation_ORange(_164526, _164528, _164534)))], (3774 ^ _82980) ^ [_164585, _164587, _164589, _164591, _164593] : [-(c_Relation_ODomain(_164585, _164587, c_Set_Oinsert(tc_prod(_164585, _164587), hAPP(hAPP(c_Product__Type_OPair(_164585, _164587), _164589), _164591), _164593)) = c_Set_Oinsert(_164585, _164589, c_Relation_ODomain(_164585, _164587, _164593)))], (3776 ^ _82980) ^ [_164644, _164646, _164648, _164650, _164652] : [hBOOL(hAPP(hAPP(_164644, _164646), _164648)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_164650, _164644), _164648), _164652)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_164650, _164644), _164646), _164652)))], (3786 ^ _82980) ^ [_164827, _164829, _164831, _164833] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_164827, _164829), _164831), _164833)), -(_164831 = _164833), 3793 ^ _82980 : [(3794 ^ _82980) ^ [] : [_164831 = _164833], (3796 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_164827, _164829), _164831), _164833)))]]], (3798 ^ _82980) ^ [_165033, _165035, _165037, _165039] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_165033, _165035), _165037), _165039)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_165033, _165035), _165037), _165039)))], (3804 ^ _82980) ^ [_165146, _165148, _165150, _165152, _165154] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_165146, _165148), _165150), _165152)), hBOOL(hAPP(hAPP(_165148, _165152), _165154)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_165146, _165148), _165150), _165154)))], (3814 ^ _82980) ^ [_165329, _165331, _165333, _165335, _165337] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_165329, _165331), _165333), _165335)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_165329, _165331), _165335), _165337)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_165329, _165331), _165333), _165337)))], (3824 ^ _82980) ^ [_165518, _165520, _165522, _165524, _165526] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_165518, _165520), _165522), _165524)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_165518, _165520), _165524), _165526)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_165518, _165520), _165522), _165526)))], (3834 ^ _82980) ^ [_165707, _165709, _165711, _165713] : [hBOOL(hAPP(hAPP(c_member(_165707), _165709), _165711)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165707, tc_HOL_Obool), c_Set_Oinsert(_165707, _165709, _165713), _165711) = c_Set_Oinsert(_165707, _165709, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165707, tc_HOL_Obool), _165713, _165711)))], (3840 ^ _82980) ^ [_165846, _165848, _165850, _165852] : [hBOOL(hAPP(hAPP(c_member(_165846), _165848), _165850)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165846, tc_HOL_Obool), _165850, c_Set_Oinsert(_165846, _165848, _165852)) = c_Set_Oinsert(_165846, _165848, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165846, tc_HOL_Obool), _165850, _165852)))], (3846 ^ _82980) ^ [_165981, _165983, _165985, _165987] : [-(hBOOL(hAPP(hAPP(c_member(_165981), _165983), _165985))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165981, tc_HOL_Obool), c_Set_Oinsert(_165981, _165983, _165987), _165985) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165981, tc_HOL_Obool), _165987, _165985))], (3852 ^ _82980) ^ [_166042, _166044, _166046, _166048] : [-(hBOOL(hAPP(hAPP(c_member(_166042), _166044), _166046))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_166042, tc_HOL_Obool), _166046, c_Set_Oinsert(_166042, _166044, _166048)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_166042, tc_HOL_Obool), _166046, _166048))], (3858 ^ _82980) ^ [_166122, _166124, _166126, _166128] : [hBOOL(hAPP(hAPP(c_member(_166122), _166124), _166126)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_166122, tc_HOL_Obool), c_Set_Oinsert(_166122, _166124, _166128), _166126) = c_Set_Oinsert(_166122, _166124, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_166122, tc_HOL_Obool), _166128, _166126)))], (3864 ^ _82980) ^ [_166255, _166257, _166259, _166261] : [-(hBOOL(hAPP(hAPP(c_member(_166255), _166257), _166259))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_166255, tc_HOL_Obool), c_Set_Oinsert(_166255, _166257, _166261), _166259) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_166255, tc_HOL_Obool), _166261, _166259))], (3870 ^ _82980) ^ [_166337, _166339, _166341, _166343] : [hBOOL(hAPP(hAPP(c_member(_166337), _166339), _166341)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_166337, tc_HOL_Obool), _166341, c_Set_Oinsert(_166337, _166339, _166343)) = c_Set_Oinsert(_166337, _166339, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_166337, tc_HOL_Obool), _166341, _166343)))], (3876 ^ _82980) ^ [_166470, _166472, _166474, _166476] : [-(hBOOL(hAPP(hAPP(c_member(_166470), _166472), _166474))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_166470, tc_HOL_Obool), _166474, c_Set_Oinsert(_166470, _166472, _166476)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_166470, tc_HOL_Obool), _166474, _166476))], (3882 ^ _82980) ^ [_166536, _166538, _166540, _166542, _166544, _166546] : [-(hBOOL(hAPP(hAPP(c_member(_166536), _166538), _166540))), hBOOL(hAPP(hAPP(c_member(tc_fun(_166536, _166542)), _166544), c_FuncSet_Oextensional__funcset(_166536, _166542, c_Set_Oinsert(_166536, _166538, _166540), _166546))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_166536, _166542)), c_Fun_Ofun__upd(_166536, _166542, _166544, _166538, c_HOL_Oundefined(_166542))), c_FuncSet_Oextensional__funcset(_166536, _166542, _166540, _166546))))], (3892 ^ _82980) ^ [_166770, _166772, _166774, _166776, _166778, _166780, _166782] : [hBOOL(hAPP(hAPP(c_member(_166770), _166772), _166774)), hBOOL(hAPP(hAPP(c_member(tc_fun(_166776, _166770)), _166778), c_FuncSet_Oextensional__funcset(_166776, _166770, _166780, _166774))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_166776, _166770)), c_Fun_Ofun__upd(_166776, _166770, _166778, _166782, _166772)), c_FuncSet_Oextensional__funcset(_166776, _166770, c_Set_Oinsert(_166776, _166782, _166780), _166774))))], (3902 ^ _82980) ^ [_167034, _167036, _167038, _167040] : [c_Wellfounded_Owf(_167034, c_Set_Oinsert(tc_prod(_167034, _167034), hAPP(hAPP(c_Product__Type_OPair(_167034, _167034), _167036), _167038), _167040)), 3905 ^ _82980 : [(3906 ^ _82980) ^ [] : [-(c_Wellfounded_Owf(_167034, _167040))], (3908 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_167034, _167034)), hAPP(hAPP(c_Product__Type_OPair(_167034, _167034), _167038), _167036)), c_Transitive__Closure_Ortrancl(_167034, _167040)))]]], (3910 ^ _82980) ^ [_167221, _167223, _167225, _167227] : [-(c_Wellfounded_Owf(_167221, c_Set_Oinsert(tc_prod(_167221, _167221), hAPP(hAPP(c_Product__Type_OPair(_167221, _167221), _167223), _167225), _167227))), c_Wellfounded_Owf(_167221, _167227), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_167221, _167221)), hAPP(hAPP(c_Product__Type_OPair(_167221, _167221), _167225), _167223)), c_Transitive__Closure_Ortrancl(_167221, _167227))))], (3920 ^ _82980) ^ [_167439, _167441] : [c_Wellfounded_Oacyclic(_167439, _167441), -(c_Relation_Oantisym(_167439, c_Transitive__Closure_Ortrancl(_167439, _167441)))], (3926 ^ _82980) ^ [_167522, _167524, _167526, _167528] : [c_Wellfounded_Owf(_167522, _167524), -(c_Wellfounded_Owf(_167526, hAPP(hAPP(c_Relation_Oinv__image(_167522, _167526), _167524), _167528)))], (3932 ^ _82980) ^ [_167621, _167623, _167625, _167627] : [c_Wellfounded_Owf(_167621, _167623), c_Wellfounded_Owf(_167625, _167627), -(c_Wellfounded_Owf(tc_prod(_167621, _167625), c_Wellfounded_Olex__prod(_167621, _167625, _167623, _167627)))], (3942 ^ _82980) ^ [_167774, _167776] : [c_Wellfounded_Owf(_167774, _167776), -(c_Wellfounded_Owf(_167774, c_Transitive__Closure_Otrancl(_167774, _167776)))], (3948 ^ _82980) ^ [_167857, _167859, _167861] : [c_Wellfounded_Owf(_167857, _167859), -(c_Wellfounded_Owf(_167857, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_167857, _167857), tc_HOL_Obool), _167861, _167859)))], (3954 ^ _82980) ^ [_167956, _167958, _167960] : [c_Wellfounded_Owf(_167956, _167958), -(c_Wellfounded_Owf(_167956, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_167956, _167956), tc_HOL_Obool), _167958, _167960)))], (3960 ^ _82980) ^ [_168055, _168057] : [c_Wellfounded_Owf(_168055, _168057), -(c_Wellfounded_Oacyclic(_168055, _168057))], (3966 ^ _82980) ^ [_168132, _168134, _168136] : [c_Wellfounded_Owf(_168132, _168134), hBOOL(hAPP(hAPP(c_member(tc_prod(_168132, _168132)), hAPP(hAPP(c_Product__Type_OPair(_168132, _168132), _168136), _168136)), _168134))], (3972 ^ _82980) ^ [_168250, _168252, _168254, _168256] : [c_Wellfounded_Owf(_168250, _168252), hBOOL(hAPP(hAPP(c_member(tc_prod(_168250, _168250)), hAPP(hAPP(c_Product__Type_OPair(_168250, _168250), _168254), _168256)), _168252)), hBOOL(hAPP(hAPP(c_member(tc_prod(_168250, _168250)), hAPP(hAPP(c_Product__Type_OPair(_168250, _168250), _168256), _168254)), _168252))], (3982 ^ _82980) ^ [_168464, _168466, _168468, _168470] : [c_Wellfounded_Owf(_168464, _168466), hBOOL(hAPP(hAPP(c_member(tc_prod(_168464, _168464)), hAPP(hAPP(c_Product__Type_OPair(_168464, _168464), _168468), _168470)), _168466)), hBOOL(hAPP(hAPP(c_member(tc_prod(_168464, _168464)), hAPP(hAPP(c_Product__Type_OPair(_168464, _168464), _168470), _168468)), _168466))], (3992 ^ _82980) ^ [_168678, _168680, _168682] : [c_Wellfounded_Owf(_168678, _168680), hBOOL(hAPP(hAPP(c_member(tc_prod(_168678, _168678)), hAPP(hAPP(c_Product__Type_OPair(_168678, _168678), _168682), _168682)), _168680))], (3998 ^ _82980) ^ [_168811, _168813] : [c_Wellfounded_Owf(_168811, _168813), 4001 ^ _82980 : [(4002 ^ _82980) ^ [_168880] : [-(hBOOL(hAPP(hAPP(c_member(_168811), _168880), c_Wellfounded_Oacc(_168811, _168813))))]]], (4004 ^ _82980) ^ [_168913, _168915] : [hBOOL(hAPP(hAPP(c_member(_168913), 4005 ^ [_168913, _168915]), c_Wellfounded_Oacc(_168913, _168915))), -(c_Wellfounded_Owf(_168913, _168915))], (4011 ^ _82980) ^ [_169046, _169048, _169050] : [c_Wellfounded_Owf(_169046, _169048), -(hBOOL(hAPP(hAPP(c_member(_169046), _169050), c_Wellfounded_Oacc(_169046, _169048))))], (4017 ^ _82980) ^ [_169145, _169147] : [-(c_Relation_Oantisym(_169145, c_Relation_OId__on(_169145, _169147)))], (4019 ^ _82980) ^ [_169173, _169175, _169177, _169179] : [c_Relation_Oantisym(_169173, _169175), hBOOL(hAPP(hAPP(c_member(tc_prod(_169173, _169173)), hAPP(hAPP(c_Product__Type_OPair(_169173, _169173), _169177), _169179)), _169175)), hBOOL(hAPP(hAPP(c_member(tc_prod(_169173, _169173)), hAPP(hAPP(c_Product__Type_OPair(_169173, _169173), _169179), _169177)), _169175)), -(_169177 = _169179)], (4047 ^ _82980) ^ [_169782, _169784] : [4050 ^ _82980 : [(4051 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_169782, _169782)), hAPP(hAPP(c_Product__Type_OPair(_169782, _169782), 4048 ^ [_169782, _169784]), 4049 ^ [_169782, _169784])), _169784)))], (4053 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_169782, _169782)), hAPP(hAPP(c_Product__Type_OPair(_169782, _169782), 4049 ^ [_169782, _169784]), 4048 ^ [_169782, _169784])), _169784)))], (4055 ^ _82980) ^ [] : [4048 ^ [_169782, _169784] = 4049 ^ [_169782, _169784]]], -(c_Relation_Oantisym(_169782, _169784))], (4033 ^ _82980) ^ [_169457, _169459] : [c_Relation_Oantisym(_169457, _169459), 4036 ^ _82980 : [(4037 ^ _82980) ^ [_169569, _169571] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_169457, _169457)), hAPP(hAPP(c_Product__Type_OPair(_169457, _169457), _169571), _169569)), _169459)), hBOOL(hAPP(hAPP(c_member(tc_prod(_169457, _169457)), hAPP(hAPP(c_Product__Type_OPair(_169457, _169457), _169569), _169571)), _169459)), -(_169571 = _169569)]]], (4059 ^ _82980) ^ [_170103, _170105, _170107, _170109] : [-(c_Fun_Ofun__upd(_170103, _170105, _170107, _170109, hAPP(_170107, _170109)) = _170107)], (4061 ^ _82980) ^ [_170141, _170143] : [-(c_Wellfounded_Owf(_170141, hAPP(c_Wellfounded_Omeasure(_170141), _170143)))], (4063 ^ _82980) ^ [_170185, _170187, _170189, _170191] : [c_Wellfounded_Owf(_170189, _170185), 4066 ^ _82980 : [(4067 ^ _82980) ^ [_170334] : [-(hAPP(c_Recdef_Owfrec(_170189, _170191, _170185, _170187), _170334) = hAPP(hAPP(_170187, hAPP(hAPP(hAPP(c_Recdef_Ocut(_170189, _170191), c_Recdef_Owfrec(_170189, _170191, _170185, _170187)), _170185), _170334)), _170334))]]], (4069 ^ _82980) ^ [_170527, _170529, _170531, _170533, _170535] : [c_Wellfounded_Owf(_170527, _170529), -(hAPP(c_Recdef_Owfrec(_170527, _170531, _170529, _170533), _170535) = hAPP(hAPP(_170533, hAPP(hAPP(hAPP(c_Recdef_Ocut(_170527, _170531), c_Recdef_Owfrec(_170527, _170531, _170529, _170533)), _170529), _170535)), _170535))], (4075 ^ _82980) ^ [_170859, _170861, _170863, _170865, _170867] : [hAPP(_170859, _170861) = _170863, -(c_Fun_Ofun__upd(_170865, _170867, _170859, _170861, _170863) = _170859)], (4081 ^ _82980) ^ [_171161, _171163, _171165, _171167, _171169, _171171] : [-(_171161 = _171163), -(hAPP(c_Fun_Ofun__upd(_171165, _171167, _171169, _171163, _171171), _171161) = hAPP(_171169, _171161))], (4087 ^ _82980) ^ [_171492, _171494, _171496, _171498, _171500, _171502, _171504] : [-(_171492 = _171494), -(c_Fun_Ofun__upd(_171496, _171498, c_Fun_Ofun__upd(_171496, _171498, _171500, _171492, _171502), _171494, _171504) = c_Fun_Ofun__upd(_171496, _171498, c_Fun_Ofun__upd(_171496, _171498, _171500, _171494, _171504), _171492, _171502))], (4093 ^ _82980) ^ [_171859, _171861, _171863, _171865, _171867, _171869] : [_171859 = _171861, -(hAPP(c_Fun_Ofun__upd(_171863, _171865, _171867, _171861, _171869), _171859) = _171869)], (4099 ^ _82980) ^ [_172063, _172065, _172067, _172069, _172071, _172073] : [-(_172063 = _172065), -(hAPP(c_Fun_Ofun__upd(_172067, _172069, _172071, _172065, _172073), _172063) = hAPP(_172071, _172063))], (4105 ^ _82980) ^ [_172353, _172355, _172357, _172359, _172361] : [-(hAPP(c_Fun_Ofun__upd(_172353, _172355, _172357, _172359, _172361), _172359) = _172361)], (4107 ^ _82980) ^ [_172518, _172520, _172522, _172524, _172526, _172528] : [-(c_Fun_Ofun__upd(_172518, _172520, c_Fun_Ofun__upd(_172518, _172520, _172522, _172524, _172526), _172524, _172528) = c_Fun_Ofun__upd(_172518, _172520, _172522, _172524, _172528))], (4109 ^ _82980) ^ [_172724, _172726, _172728, _172730, _172732] : [c_Fun_Ofun__upd(_172724, _172726, _172728, _172730, _172732) = _172728, -(hAPP(_172728, _172730) = _172732)], (4115 ^ _82980) ^ [_172922, _172924, _172926, _172928, _172930] : [hAPP(_172926, _172928) = _172930, -(c_Fun_Ofun__upd(_172922, _172924, _172926, _172928, _172930) = _172926)], (4121 ^ _82980) ^ [_173246, _173248, _173250, _173252, _173254, _173256] : [_173246 = _173248, -(hAPP(c_Fun_Ofun__upd(_173250, _173252, _173254, _173248, _173256), _173246) = _173256)], (4127 ^ _82980) ^ [_173450, _173452, _173454, _173456, _173458, _173460] : [-(_173450 = _173452), -(hAPP(c_Fun_Ofun__upd(_173454, _173456, _173458, _173452, _173460), _173450) = hAPP(_173458, _173450))], (4133 ^ _82980) ^ [_173769, _173771, _173773, _173775, _173777, _173779] : [_173769 = c_Recdef_Owfrec(_173771, _173773, _173775, _173777), c_Wellfounded_Owf(_173771, _173775), -(hAPP(_173769, _173779) = hAPP(hAPP(_173777, hAPP(hAPP(hAPP(c_Recdef_Ocut(_173771, _173773), _173769), _173775), _173779)), _173779))], (4143 ^ _82980) ^ [_174187, _174189, _174191, _174193, _174195] : [-(hAPP(c_Recdef_Owfrec(_174187, _174189, _174191, _174193), _174195) = c_HOL_OThe(_174189, c_Recdef_Owfrec__rel(_174187, _174189, _174191, hAPP(hAPP(c_COMBC(tc_fun(_174187, _174189), tc_fun(_174187, _174187), tc_fun(_174187, _174189)), hAPP(hAPP(c_COMBB(tc_fun(_174187, tc_fun(_174187, _174189)), tc_fun(tc_fun(_174187, _174187), tc_fun(_174187, _174189)), tc_fun(_174187, _174189)), c_COMBS(_174187, _174187, _174189)), hAPP(hAPP(c_COMBB(tc_fun(_174187, tc_fun(_174187, _174189)), tc_fun(_174187, tc_fun(_174187, _174189)), tc_fun(_174187, _174189)), hAPP(c_COMBB(tc_fun(_174187, _174189), tc_fun(_174187, _174189), _174187), _174193)), hAPP(hAPP(c_COMBC(tc_fun(_174187, _174189), tc_fun(tc_prod(_174187, _174187), tc_HOL_Obool), tc_fun(_174187, tc_fun(_174187, _174189))), c_Recdef_Ocut(_174187, _174189)), _174191)))), c_COMBI(_174187)), _174195)))], (4145 ^ _82980) ^ [_174466, _174468, _174470, _174472] : [4147 ^ _82980 : [(4148 ^ _82980) ^ [] : [-(hBOOL(hAPP(_174466, 4146 ^ [_174466, _174468, _174470, _174472])))], (4150 ^ _82980) ^ [] : [c_Wellfounded_Owf(_174468, hAPP(_174470, 4146 ^ [_174466, _174468, _174470, _174472]))]], -(c_Wellfounded_Owf(tc_prod(_174472, _174468), c_Recdef_Osame__fst(_174472, _174468, _174466, _174470)))], (4154 ^ _82980) ^ [_174926, _174928, _174930, _174932, _174934] : [c_Recdef_Oadm__wf(_174926, _174928, _174930, _174932), c_Wellfounded_Owf(_174926, _174930), 4162 ^ _82980 : [(4163 ^ _82980) ^ [] : [-(hBOOL(hAPP(c_Recdef_Owfrec__rel(_174926, _174928, _174930, _174932, _174934), 4161 ^ [_174926, _174928, _174930, _174932, _174934])))], (4165 ^ _82980) ^ [_175386] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_174926, _174928, _174930, _174932, _174934), _175386)), -(_175386 = 4161 ^ [_174926, _174928, _174930, _174932, _174934])]]], (4171 ^ _82980) ^ [_175745, _175747, _175749, _175751, _175753] : [c_Wellfounded_Owf(_175745, _175747), -(c_Nitpick_Owfrec_H(_175745, _175749, _175747, _175751, _175753) = c_Nitpick_Owf__wfrec_H(_175745, _175749, _175747, _175751, _175753))], (4177 ^ _82980) ^ [_175949, _175951, _175953, _175955, _175957] : [-(c_Wellfounded_Owf(_175949, _175951)), -(c_Nitpick_Owfrec_H(_175949, _175953, _175951, _175955, _175957) = c_HOL_OThe(_175953, c_Recdef_Owfrec__rel(_175949, _175953, _175951, hAPP(hAPP(c_COMBC(tc_fun(_175949, _175953), tc_fun(_175949, _175949), tc_fun(_175949, _175953)), hAPP(hAPP(c_COMBB(tc_fun(_175949, tc_fun(_175949, _175953)), tc_fun(tc_fun(_175949, _175949), tc_fun(_175949, _175953)), tc_fun(_175949, _175953)), c_COMBS(_175949, _175949, _175953)), hAPP(hAPP(c_COMBB(tc_fun(_175949, tc_fun(_175949, _175953)), tc_fun(_175949, tc_fun(_175949, _175953)), tc_fun(_175949, _175953)), hAPP(c_COMBB(tc_fun(_175949, _175953), tc_fun(_175949, _175953), _175949), _175955)), hAPP(hAPP(c_COMBC(tc_fun(_175949, _175953), tc_fun(tc_prod(_175949, _175949), tc_HOL_Obool), tc_fun(_175949, tc_fun(_175949, _175953))), c_Recdef_Ocut(_175949, _175953)), _175951)))), c_COMBI(_175949)), _175957)))], (4183 ^ _82980) ^ [_176435, _176437] : [-(c_HOL_OThe(_176435, hAPP(c_fequal, _176437)) = _176437)], (4185 ^ _82980) ^ [_176535, _176537] : [-(c_HOL_OThe(_176535, hAPP(hAPP(c_COMBC(_176535, _176535, tc_HOL_Obool), c_fequal), _176537)) = _176537)], (4187 ^ _82980) ^ [_176684, _176686, _176688, _176690, _176692] : [-(c_Nitpick_Owf__wfrec_H(_176684, _176686, _176688, _176690, _176692) = hAPP(hAPP(_176690, hAPP(hAPP(hAPP(c_Recdef_Ocut(_176684, _176686), c_Nitpick_Owf__wfrec(_176684, _176686, _176688, _176690)), _176688), _176692)), _176692))], (4189 ^ _82980) ^ [_176857, _176859] : [c_Wellfounded_OwfP(_176857, hAPP(hAPP(c_COMBC(_176857, tc_fun(tc_prod(_176857, _176857), tc_HOL_Obool), tc_fun(_176857, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_176857, tc_fun(tc_fun(tc_prod(_176857, _176857), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_176857, _176857), tc_HOL_Obool), tc_fun(_176857, tc_HOL_Obool)), _176857), c_COMBC(_176857, tc_fun(tc_prod(_176857, _176857), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_176857, tc_prod(_176857, _176857)), tc_fun(_176857, tc_fun(tc_fun(tc_prod(_176857, _176857), tc_HOL_Obool), tc_HOL_Obool)), _176857), hAPP(c_COMBB(tc_prod(_176857, _176857), tc_fun(tc_fun(tc_prod(_176857, _176857), tc_HOL_Obool), tc_HOL_Obool), _176857), c_member(tc_prod(_176857, _176857)))), c_Product__Type_OPair(_176857, _176857)))), _176859)), -(c_Wellfounded_Owf(_176857, _176859))], (4195 ^ _82980) ^ [_177255, _177257] : [c_Wellfounded_Owf(_177255, _177257), -(c_Wellfounded_OwfP(_177255, hAPP(hAPP(c_COMBC(_177255, tc_fun(tc_prod(_177255, _177255), tc_HOL_Obool), tc_fun(_177255, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_177255, tc_fun(tc_fun(tc_prod(_177255, _177255), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_177255, _177255), tc_HOL_Obool), tc_fun(_177255, tc_HOL_Obool)), _177255), c_COMBC(_177255, tc_fun(tc_prod(_177255, _177255), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_177255, tc_prod(_177255, _177255)), tc_fun(_177255, tc_fun(tc_fun(tc_prod(_177255, _177255), tc_HOL_Obool), tc_HOL_Obool)), _177255), hAPP(c_COMBB(tc_prod(_177255, _177255), tc_fun(tc_fun(tc_prod(_177255, _177255), tc_HOL_Obool), tc_HOL_Obool), _177255), c_member(tc_prod(_177255, _177255)))), c_Product__Type_OPair(_177255, _177255)))), _177257)))], (4218 ^ _82980) ^ [_178613, _178615] : [-(c_Wellfounded_Owf(_178613, _178615)), 4221 ^ _82980 : [(4222 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_178613), 4220 ^ [_178613, _178615]), 4219 ^ [_178613, _178615])))], (4224 ^ _82980) ^ [_179040] : [hBOOL(hAPP(hAPP(c_member(_178613), _179040), 4219 ^ [_178613, _178615])), 4228 ^ _82980 : [(4229 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_178613, _178613)), hAPP(hAPP(c_Product__Type_OPair(_178613, _178613), 4227 ^ [_178613, _178615, _179040]), _179040)), _178615)))], (4231 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_178613), 4227 ^ [_178613, _178615, _179040]), 4219 ^ [_178613, _178615])))]]]]], (4201 ^ _82980) ^ [_177732, _177734] : [c_Wellfounded_Owf(_177732, _177734), 4204 ^ _82980 : [(4205 ^ _82980) ^ [_177938] : [4206 ^ _82980 : [(4207 ^ _82980) ^ [_178078] : [hBOOL(hAPP(hAPP(c_member(_177732), _178078), _177938))]], 4209 ^ _82980 : [(4210 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_177732), 4208 ^ [_177732, _177734, _177938]), _177938)))], (4212 ^ _82980) ^ [_178349] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_177732, _177732)), hAPP(hAPP(c_Product__Type_OPair(_177732, _177732), _178349), 4208 ^ [_177732, _177734, _177938])), _177734)), hBOOL(hAPP(hAPP(c_member(_177732), _178349), _177938))]]]]], (4235 ^ _82980) ^ [_179572] : [-(c_Wellfounded_OwfP(_179572, c_COMBK(tc_fun(_179572, tc_HOL_Obool), _179572, c_COMBK(tc_HOL_Obool, _179572, c_fFalse))))], (4237 ^ _82980) ^ [_179704, _179706, _179708] : [c_Wellfounded_OwfP(_179704, _179706), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_179704, _179706), _179708)))], (4243 ^ _82980) ^ [_179959, _179961] : [c_Wellfounded_OwfP(_179959, _179961), 4246 ^ _82980 : [(4247 ^ _82980) ^ [_180080] : [-(hBOOL(hAPP(c_Wellfounded_Oaccp(_179959, _179961), _180080)))]]], (4249 ^ _82980) ^ [_180153, _180155] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_180153, _180155), 4250 ^ [_180153, _180155])), -(c_Wellfounded_OwfP(_180153, _180155))], (4256 ^ _82980) ^ [_180437, _180439] : [c_Wellfounded_OwfP(_180437, _180439), -(c_Wellfounded_OwfP(_180437, c_Transitive__Closure_Otranclp(_180437, _180439)))], (4262 ^ _82980) ^ [_180653, _180655] : [c_Wellfounded_Owf(_180653, _180655), -(c_Wellfounded_OwfP(_180653, c_FunDef_Oin__rel(_180653, _180653, _180655)))], (4268 ^ _82980) ^ [_180898, _180900, _180902, _180904, _180906] : [-(c_Fun_Othe__inv__into(_180898, _180900, _180902, _180904, _180906) = c_HOL_OThe(_180898, hAPP(hAPP(c_COMBS(_180898, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _180898), c_fconj), hAPP(hAPP(c_COMBC(_180898, tc_fun(_180898, tc_HOL_Obool), tc_HOL_Obool), c_member(_180898)), _180902))), hAPP(hAPP(c_COMBC(_180898, _180900, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_180900, tc_fun(_180900, tc_HOL_Obool), _180898), c_fequal), _180904)), _180906))))], (4270 ^ _82980) ^ [_181080, _181082] : [hBOOL(hAPP(hAPP(c_member(_181080), 4271 ^ [_181080, _181082]), c_Wellfounded_Oacc(_181080, _181082))), -(c_Wellfounded_Owf(_181080, _181082))], (4277 ^ _82980) ^ [_181377, _181379] : [4280 ^ _82980 : [(4281 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_181377, _181377)), hAPP(hAPP(c_Product__Type_OPair(_181377, _181377), 4278 ^ [_181377, _181379]), 4279 ^ [_181377, _181379])), _181379)))], (4283 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_181377, _181377)), hAPP(hAPP(c_Product__Type_OPair(_181377, _181377), 4279 ^ [_181377, _181379]), 4278 ^ [_181377, _181379])), _181379)))], (4285 ^ _82980) ^ [] : [4278 ^ [_181377, _181379] = 4279 ^ [_181377, _181379]]], -(c_Relation_Oantisym(_181377, _181379))], (4289 ^ _82980) ^ [_182137, _182139, _182141, _182143] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_182137, _182137)), hAPP(hAPP(c_Product__Type_OPair(_182137, _182137), _182139), _182141)), hAPP(c_Wellfounded_Omeasure(_182137), _182143))), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(_182143, _182139), hAPP(_182143, _182141)))], (4295 ^ _82980) ^ [_182373, _182375, _182377, _182379] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(_182379, _182375), hAPP(_182379, _182377)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_182373, _182373)), hAPP(hAPP(c_Product__Type_OPair(_182373, _182373), _182375), _182377)), hAPP(c_Wellfounded_Omeasure(_182373), _182379))))], (4301 ^ _82980) ^ [_182735, _182737, _182739, _182741, _182743, _182745] : [hBOOL(hAPP(hAPP(c_member(_182735), _182737), _182739)), -(c_Fun_Ooverride__on(_182735, _182741, _182743, _182745, _182739, _182737) = hAPP(_182745, _182737))], (4307 ^ _82980) ^ [_182955, _182957, _182959, _182961, _182963, _182965] : [-(hBOOL(hAPP(hAPP(c_member(_182955), _182957), _182959))), -(c_Fun_Ooverride__on(_182955, _182961, _182963, _182965, _182959, _182957) = hAPP(_182963, _182957))], (4313 ^ _82980) ^ [_183199] : [-(c_Wellfounded_Omeasure(_183199) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _183199), c_Wellfounded_Oless__than))], (4315 ^ _82980) ^ [] : [-(c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than))], (4317 ^ _82980) ^ [_183396, _183398] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _183396), _183398)), c_Wellfounded_Oless__than)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _183396, _183398))], (4323 ^ _82980) ^ [_183582, _183584] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _183582, _183584), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _183582), _183584)), c_Wellfounded_Oless__than)))], (4329 ^ _82980) ^ [_183846, _183848, _183850, _183852] : [class_Lattices_Osemilattice__inf(_183846), c_Orderings_Oord__class_Oless(_183846, _183848, _183850), -(c_Orderings_Oord__class_Oless(_183846, c_Lattices_Osemilattice__inf__class_Oinf(_183846, _183848, _183852), _183850))], (4339 ^ _82980) ^ [_184203, _184205, _184207, _184209] : [class_Lattices_Osemilattice__inf(_184203), c_Orderings_Oord__class_Oless(_184203, _184205, _184207), -(c_Orderings_Oord__class_Oless(_184203, c_Lattices_Osemilattice__inf__class_Oinf(_184203, _184209, _184205), _184207))], (4349 ^ _82980) ^ [_184588, _184590, _184592, _184594, _184596, _184598] : [-(hBOOL(hAPP(hAPP(c_member(_184588), _184590), _184592))), -(c_Fun_Ooverride__on(_184588, _184594, _184596, _184598, _184592, _184590) = hAPP(_184596, _184590))], (4355 ^ _82980) ^ [_184915, _184917, _184919, _184921, _184923, _184925] : [hBOOL(hAPP(hAPP(c_member(_184915), _184917), _184919)), -(c_Fun_Ooverride__on(_184915, _184921, _184923, _184925, _184919, _184917) = hAPP(_184925, _184917))], (4361 ^ _82980) ^ [_185225, _185227, _185229, _185231, _185233] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(_185225, _185227), hAPP(_185225, _185229)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_185231, _185231)), hAPP(hAPP(c_Product__Type_OPair(_185231, _185231), _185227), _185229)), c_Wellfounded_Omlex__prod(_185231, _185225, _185233))))], (4367 ^ _82980) ^ [_185512, _185514, _185516] : [-(c_Wellfounded_Omlex__prod(_185512, _185514, _185516) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _185512), _185512), c_Wellfounded_Olex__prod(tc_Nat_Onat, _185512, c_Wellfounded_Oless__than, _185516)), hAPP(hAPP(c_COMBS(_185512, _185512, tc_prod(tc_Nat_Onat, _185512)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_185512, tc_prod(tc_Nat_Onat, _185512)), _185512), c_Product__Type_OPair(tc_Nat_Onat, _185512)), _185514)), c_COMBI(_185512))))], (4369 ^ _82980) ^ [] : [-(c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))], (4371 ^ _82980) ^ [_185759, _185761, _185763, _185765] : [c_Orderings_Oord__class_Oless(tc_fun(_185759, tc_HOL_Obool), _185761, _185763), hBOOL(hAPP(hAPP(c_member(_185759), _185765), _185761)), -(hBOOL(hAPP(hAPP(c_member(_185759), _185765), _185763)))], (4381 ^ _82980) ^ [] : [-(c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat))], (4383 ^ _82980) ^ [_186196, _186198] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _186196), _186198)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _186196, _186198))], (4389 ^ _82980) ^ [_186382, _186384] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _186382, _186384), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _186382), _186384)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))))], (4395 ^ _82980) ^ [_186632, _186634, _186636] : [c_Wellfounded_Owf(_186632, _186634), -(c_Wellfounded_Owf(_186632, c_Wellfounded_Omlex__prod(_186632, _186636, _186634)))], (4401 ^ _82980) ^ [_186884, _186886, _186888, _186890] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _186884, _186886), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _186884), _186888)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _186886), _186890))), c_FunDef_Opair__leq)))], (4407 ^ _82980) ^ [_187182, _187184, _187186, _187188] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _187182, _187184), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _187182), _187186)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _187184), _187188))), c_FunDef_Opair__less)))], (4413 ^ _82980) ^ [_187481, _187483] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _187481), _187483)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _187481, _187483))], (4419 ^ _82980) ^ [_187667, _187669] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _187667, _187669), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _187667), _187669)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))))], (4425 ^ _82980) ^ [_187931, _187933, _187935, _187937] : [c_Orderings_Oord__class_Oless(tc_fun(_187931, tc_HOL_Obool), _187933, _187935), c_Orderings_Oord__class_Oless(tc_fun(_187931, tc_HOL_Obool), _187935, _187937), -(c_Orderings_Oord__class_Oless(tc_fun(_187931, tc_HOL_Obool), _187933, _187937))], (4435 ^ _82980) ^ [_188274, _188276] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _188274, _188276), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _188274, _188276))], (4441 ^ _82980) ^ [_188516, _188518, _188520, _188522] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _188516, _188518), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _188520, _188522), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _188516), _188520)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _188518), _188522))), c_FunDef_Opair__less)))], (4451 ^ _82980) ^ [_188913, _188915, _188917, _188919] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _188913, _188915), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _188917, _188919), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _188913), _188917)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _188915), _188919))), c_FunDef_Opair__leq)))], (4461 ^ _82980) ^ [] : [-(c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less))], (4463 ^ _82980) ^ [_189349, _189351, _189353] : [class_Lattices_Olattice(_189349), -(c_Orderings_Oord__class_Oless__eq(_189349, c_Lattices_Osemilattice__inf__class_Oinf(_189349, _189351, _189353), _189351))], (4469 ^ _82980) ^ [_189587, _189589, _189591] : [class_Lattices_Osemilattice__inf(_189587), -(c_Orderings_Oord__class_Oless__eq(_189587, c_Lattices_Osemilattice__inf__class_Oinf(_189587, _189589, _189591), _189589))], (4475 ^ _82980) ^ [_189825, _189827, _189829] : [class_Lattices_Olattice(_189825), -(c_Orderings_Oord__class_Oless__eq(_189825, c_Lattices_Osemilattice__inf__class_Oinf(_189825, _189827, _189829), _189829))], (4481 ^ _82980) ^ [_190063, _190065, _190067] : [class_Lattices_Osemilattice__inf(_190063), -(c_Orderings_Oord__class_Oless__eq(_190063, c_Lattices_Osemilattice__inf__class_Oinf(_190063, _190065, _190067), _190067))], (4487 ^ _82980) ^ [_190301, _190303, _190305] : [class_Lattices_Osemilattice__inf(_190301), 4490 ^ _82980 : [(4491 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(_190301, _190303, _190305), -(c_Lattices_Osemilattice__inf__class_Oinf(_190301, _190303, _190305) = _190303)], (4497 ^ _82980) ^ [] : [c_Lattices_Osemilattice__inf__class_Oinf(_190301, _190303, _190305) = _190303, -(c_Orderings_Oord__class_Oless__eq(_190301, _190303, _190305))]]], (4503 ^ _82980) ^ [_190818, _190820, _190822, _190824] : [class_Lattices_Osemilattice__inf(_190818), 4506 ^ _82980 : [(4507 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(_190818, _190820, c_Lattices_Osemilattice__inf__class_Oinf(_190818, _190822, _190824)), 4510 ^ _82980 : [(4511 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_190818, _190820, _190822))], (4513 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_190818, _190820, _190824))]]], (4515 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_190818, _190820, c_Lattices_Osemilattice__inf__class_Oinf(_190818, _190822, _190824))), c_Orderings_Oord__class_Oless__eq(_190818, _190820, _190822), c_Orderings_Oord__class_Oless__eq(_190818, _190820, _190824)]]], (4525 ^ _82980) ^ [_191527, _191529, _191531, _191533] : [class_Lattices_Osemilattice__inf(_191527), c_Orderings_Oord__class_Oless__eq(_191527, _191529, _191531), -(c_Orderings_Oord__class_Oless__eq(_191527, c_Lattices_Osemilattice__inf__class_Oinf(_191527, _191529, _191533), _191531))], (4535 ^ _82980) ^ [_191884, _191886, _191888, _191890] : [class_Lattices_Osemilattice__inf(_191884), c_Orderings_Oord__class_Oless__eq(_191884, _191886, _191888), -(c_Orderings_Oord__class_Oless__eq(_191884, c_Lattices_Osemilattice__inf__class_Oinf(_191884, _191890, _191886), _191888))], (4545 ^ _82980) ^ [_192227, _192229, _192231] : [class_Lattices_Osemilattice__inf(_192227), c_Orderings_Oord__class_Oless__eq(_192227, _192229, _192231), -(c_Lattices_Osemilattice__inf__class_Oinf(_192227, _192229, _192231) = _192229)], (4555 ^ _82980) ^ [_192558, _192560, _192562] : [class_Lattices_Osemilattice__inf(_192558), c_Orderings_Oord__class_Oless__eq(_192558, _192560, _192562), -(c_Lattices_Osemilattice__inf__class_Oinf(_192558, _192562, _192560) = _192560)], (4565 ^ _82980) ^ [_192903, _192905, _192907, _192909] : [class_Lattices_Osemilattice__inf(_192903), c_Orderings_Oord__class_Oless__eq(_192903, _192905, _192907), c_Orderings_Oord__class_Oless__eq(_192903, _192905, _192909), -(c_Orderings_Oord__class_Oless__eq(_192903, _192905, c_Lattices_Osemilattice__inf__class_Oinf(_192903, _192907, _192909)))], (4579 ^ _82980) ^ [_193359, _193361, _193363, _193365] : [class_Lattices_Osemilattice__inf(_193359), c_Orderings_Oord__class_Oless__eq(_193359, _193361, _193363), c_Orderings_Oord__class_Oless__eq(_193359, _193361, _193365), -(c_Orderings_Oord__class_Oless__eq(_193359, _193361, c_Lattices_Osemilattice__inf__class_Oinf(_193359, _193363, _193365)))], (4593 ^ _82980) ^ [_193829, _193831, _193833, _193835, _193837] : [class_Lattices_Osemilattice__inf(_193829), c_Orderings_Oord__class_Oless__eq(_193829, _193831, _193833), c_Orderings_Oord__class_Oless__eq(_193829, _193835, _193837), -(c_Orderings_Oord__class_Oless__eq(_193829, c_Lattices_Osemilattice__inf__class_Oinf(_193829, _193831, _193835), c_Lattices_Osemilattice__inf__class_Oinf(_193829, _193833, _193837)))], (4607 ^ _82980) ^ [_194307, _194309, _194311, _194313] : [class_Lattices_Osemilattice__inf(_194307), c_Orderings_Oord__class_Oless__eq(_194307, _194309, c_Lattices_Osemilattice__inf__class_Oinf(_194307, _194311, _194313)), 4614 ^ _82980 : [(4615 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_194307, _194309, _194311))], (4617 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_194307, _194309, _194313))]]], (4619 ^ _82980) ^ [] : [-(c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than))], (4621 ^ _82980) ^ [_194816, _194818, _194820, _194822, _194824] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(_194816, _194818), hAPP(_194816, _194820)), hBOOL(hAPP(hAPP(c_member(tc_prod(_194822, _194822)), hAPP(hAPP(c_Product__Type_OPair(_194822, _194822), _194818), _194820)), _194824)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_194822, _194822)), hAPP(hAPP(c_Product__Type_OPair(_194822, _194822), _194818), _194820)), c_Wellfounded_Omlex__prod(_194822, _194816, _194824))))], (4631 ^ _82980) ^ [_195271, _195273, _195275, _195277] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _195271), _195273)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _195271), _195275)), c_FunDef_Opair__leq)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _195273), _195277)), c_FunDef_Omin__weak)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _195273), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _195275, _195277))), c_FunDef_Omin__weak)))], (4645 ^ _82980) ^ [_195799, _195801, _195803, _195805] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _195799), _195801)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _195803), _195799)), c_FunDef_Opair__leq)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _195805), _195801)), c_FunDef_Omax__weak)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _195803, _195805)), _195801)), c_FunDef_Omax__weak)))], (4659 ^ _82980) ^ [_196327, _196329, _196331, _196333] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _196327), _196329)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _196327), _196331)), c_FunDef_Opair__less)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _196329), _196333)), c_FunDef_Omin__strict)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _196329), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _196331, _196333))), c_FunDef_Omin__strict)))], (4673 ^ _82980) ^ [_196855, _196857, _196859, _196861] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_196855, tc_HOL_Obool), _196857, _196859), hBOOL(hAPP(hAPP(c_member(_196855), _196861), _196857)), -(hBOOL(hAPP(hAPP(c_member(_196855), _196861), _196859)))], (4683 ^ _82980) ^ [_197238, _197240, _197242, _197244] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_197238, tc_HOL_Obool), _197240, _197242), c_Orderings_Oord__class_Oless(tc_fun(_197238, tc_HOL_Obool), _197242, _197244), -(c_Orderings_Oord__class_Oless(tc_fun(_197238, tc_HOL_Obool), _197240, _197244))], (4693 ^ _82980) ^ [_197609, _197611, _197613, _197615] : [c_Orderings_Oord__class_Oless(tc_fun(_197609, tc_HOL_Obool), _197611, _197613), c_Orderings_Oord__class_Oless__eq(tc_fun(_197609, tc_HOL_Obool), _197613, _197615), -(c_Orderings_Oord__class_Oless(tc_fun(_197609, tc_HOL_Obool), _197611, _197615))], (4703 ^ _82980) ^ [_197966, _197968, _197970] : [c_Orderings_Oord__class_Oless(tc_fun(_197966, tc_HOL_Obool), _197968, _197970), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_197966, tc_HOL_Obool), _197968, _197970))], (4719 ^ _82980) ^ [_198519, _198521, _198523] : [4720 ^ _82980 : [(4721 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(tc_fun(_198519, tc_HOL_Obool), _198521, _198523)], (4723 ^ _82980) ^ [] : [_198521 = _198523]], -(c_Orderings_Oord__class_Oless__eq(tc_fun(_198519, tc_HOL_Obool), _198521, _198523))], (4709 ^ _82980) ^ [_198241, _198243, _198245] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_198241, tc_HOL_Obool), _198243, _198245), -(c_Orderings_Oord__class_Oless(tc_fun(_198241, tc_HOL_Obool), _198243, _198245)), -(_198243 = _198245)], (4727 ^ _82980) ^ [_198872, _198874, _198876] : [c_Orderings_Oord__class_Oless(tc_fun(_198872, tc_HOL_Obool), _198874, _198876), 4730 ^ _82980 : [(4731 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_198872, tc_HOL_Obool), _198874, _198876))], (4733 ^ _82980) ^ [] : [_198874 = _198876]]], (4735 ^ _82980) ^ [_199134, _199136, _199138] : [-(c_Orderings_Oord__class_Oless(tc_fun(_199134, tc_HOL_Obool), _199136, _199138)), c_Orderings_Oord__class_Oless__eq(tc_fun(_199134, tc_HOL_Obool), _199136, _199138), -(_199136 = _199138)], (4745 ^ _82980) ^ [_199507, _199509, _199511] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_199507, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_199507, tc_fun(_199507, tc_HOL_Obool), tc_HOL_Obool), c_member(_199507)), _199509), hAPP(hAPP(c_COMBC(_199507, tc_fun(_199507, tc_HOL_Obool), tc_HOL_Obool), c_member(_199507)), _199511)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_199507, tc_HOL_Obool), _199509, _199511))], (4751 ^ _82980) ^ [_199751, _199753, _199755] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_199751, tc_HOL_Obool), _199753, _199755), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_199751, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_199751, tc_fun(_199751, tc_HOL_Obool), tc_HOL_Obool), c_member(_199751)), _199753), hAPP(hAPP(c_COMBC(_199751, tc_fun(_199751, tc_HOL_Obool), tc_HOL_Obool), c_member(_199751)), _199755)))], (4757 ^ _82980) ^ [_200102, _200104, _200106, _200108] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_200102, tc_fun(_200104, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_200102, tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_fun(_200104, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_200104, tc_fun(tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_fun(_200104, tc_HOL_Obool)), _200102), c_COMBC(_200104, tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_200104, tc_prod(_200102, _200104)), tc_fun(_200104, tc_fun(tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_HOL_Obool)), _200102), hAPP(c_COMBB(tc_prod(_200102, _200104), tc_fun(tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_HOL_Obool), _200104), c_member(tc_prod(_200102, _200104)))), c_Product__Type_OPair(_200102, _200104)))), _200106), hAPP(hAPP(c_COMBC(_200102, tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_fun(_200104, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_200104, tc_fun(tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_fun(_200104, tc_HOL_Obool)), _200102), c_COMBC(_200104, tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_200104, tc_prod(_200102, _200104)), tc_fun(_200104, tc_fun(tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_HOL_Obool)), _200102), hAPP(c_COMBB(tc_prod(_200102, _200104), tc_fun(tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), tc_HOL_Obool), _200104), c_member(tc_prod(_200102, _200104)))), c_Product__Type_OPair(_200102, _200104)))), _200108)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_200102, _200104), tc_HOL_Obool), _200106, _200108))], (4763 ^ _82980) ^ [_200776, _200778, _200780, _200782] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), _200780, _200782), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_200776, tc_fun(_200778, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_200776, tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_fun(_200778, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_200778, tc_fun(tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_fun(_200778, tc_HOL_Obool)), _200776), c_COMBC(_200778, tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_200778, tc_prod(_200776, _200778)), tc_fun(_200778, tc_fun(tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_HOL_Obool)), _200776), hAPP(c_COMBB(tc_prod(_200776, _200778), tc_fun(tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_HOL_Obool), _200778), c_member(tc_prod(_200776, _200778)))), c_Product__Type_OPair(_200776, _200778)))), _200780), hAPP(hAPP(c_COMBC(_200776, tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_fun(_200778, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_200778, tc_fun(tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_fun(_200778, tc_HOL_Obool)), _200776), c_COMBC(_200778, tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_200778, tc_prod(_200776, _200778)), tc_fun(_200778, tc_fun(tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_HOL_Obool)), _200776), hAPP(c_COMBB(tc_prod(_200776, _200778), tc_fun(tc_fun(tc_prod(_200776, _200778), tc_HOL_Obool), tc_HOL_Obool), _200778), c_member(tc_prod(_200776, _200778)))), c_Product__Type_OPair(_200776, _200778)))), _200782)))], (4769 ^ _82980) ^ [_201528, _201530, _201532, _201534] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_201528, tc_HOL_Obool), _201530, _201532), hBOOL(hAPP(hAPP(c_member(_201528), _201534), _201530)), -(hBOOL(hAPP(hAPP(c_member(_201528), _201534), _201532)))], (4779 ^ _82980) ^ [_201911, _201913, _201915, _201917] : [hBOOL(hAPP(hAPP(c_member(_201911), _201913), _201915)), c_Orderings_Oord__class_Oless__eq(tc_fun(_201911, tc_HOL_Obool), _201915, _201917), -(hBOOL(hAPP(hAPP(c_member(_201911), _201913), _201917)))], (4789 ^ _82980) ^ [_202294, _202296, _202298, _202300] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_202294, tc_HOL_Obool), _202296, _202298), hBOOL(hAPP(hAPP(c_member(_202294), _202300), _202296)), -(hBOOL(hAPP(hAPP(c_member(_202294), _202300), _202298)))], (4799 ^ _82980) ^ [_202663, _202665, _202667] : [c_Wellfounded_Owf(_202663, _202665), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_202663, _202663), tc_HOL_Obool), _202667, _202665), -(c_Wellfounded_Owf(_202663, _202667))], (4809 ^ _82980) ^ [_203014, _203016, _203018, _203020] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_203014, _203016), tc_HOL_Obool), _203018, _203020), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_203014, tc_HOL_Obool), c_Relation_ODomain(_203014, _203016, _203018), c_Relation_ODomain(_203014, _203016, _203020)))], (4815 ^ _82980) ^ [_203288, _203290, _203292] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_203288, _203288), tc_HOL_Obool), _203290, _203292), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_203288, tc_HOL_Obool), c_Wellfounded_Oacc(_203288, _203292), c_Wellfounded_Oacc(_203288, _203290)))], (4821 ^ _82980) ^ [_203580, _203582, _203584, _203586, _203588] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_203580, tc_HOL_Obool), _203582, _203584), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_203580, _203586), tc_HOL_Obool), c_FuncSet_OPi(_203580, _203586, _203584, _203588), c_FuncSet_OPi(_203580, _203586, _203582, _203588)))], (4827 ^ _82980) ^ [_203864, _203866, _203868] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_203864, tc_fun(_203864, tc_HOL_Obool)), _203866, _203868), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_203864, tc_HOL_Obool), c_Wellfounded_Oaccp(_203864, _203868), c_Wellfounded_Oaccp(_203864, _203866)))], (4833 ^ _82980) ^ [_204128, _204130, _204132] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_204128, _204128), tc_HOL_Obool), _204130, _204132), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_204128, _204128), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_204128, _204130), c_Transitive__Closure_Ortrancl(_204128, _204132)))], (4839 ^ _82980) ^ [_204398, _204400, _204402] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_204398, _204398), tc_HOL_Obool), _204400, _204402), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_204398, _204398), tc_HOL_Obool), _204402, c_Transitive__Closure_Ortrancl(_204398, _204400)), -(c_Transitive__Closure_Ortrancl(_204398, _204402) = c_Transitive__Closure_Ortrancl(_204398, _204400))], (4849 ^ _82980) ^ [_204767, _204769, _204771] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_204767, _204767), tc_HOL_Obool), _204769, c_Transitive__Closure_Ortrancl(_204767, _204771)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_204767, _204767), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_204767, _204769), c_Transitive__Closure_Ortrancl(_204767, _204771)))], (4855 ^ _82980) ^ [_205043, _205045, _205047] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_205043, tc_fun(_205043, tc_HOL_Obool)), _205045, _205047), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_205043, tc_fun(_205043, tc_HOL_Obool)), c_Transitive__Closure_Ortranclp(_205043, _205045), c_Transitive__Closure_Ortranclp(_205043, _205047)))], (4861 ^ _82980) ^ [_205313, _205315, _205317] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_205313, tc_fun(_205313, tc_HOL_Obool)), _205315, _205317), c_Orderings_Oord__class_Oless__eq(tc_fun(_205313, tc_fun(_205313, tc_HOL_Obool)), _205317, c_Transitive__Closure_Ortranclp(_205313, _205315)), -(c_Transitive__Closure_Ortranclp(_205313, _205317) = c_Transitive__Closure_Ortranclp(_205313, _205315))], (4871 ^ _82980) ^ [_205667, _205669, _205671] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_205667, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_205667, tc_HOL_Obool), _205669, _205671), _205669))], (4873 ^ _82980) ^ [_205788, _205790, _205792] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_205788, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_205788, tc_HOL_Obool), _205790, _205792), _205792))], (4875 ^ _82980) ^ [_205924, _205926, _205928] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_205924, tc_HOL_Obool), _205926, _205928), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_205924, tc_HOL_Obool), _205926, _205928) = _205926)], (4881 ^ _82980) ^ [_206176, _206178, _206180] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_206176, tc_HOL_Obool), _206178, _206180), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_206176, tc_HOL_Obool), _206180, _206178) = _206178)], (4887 ^ _82980) ^ [_206442, _206444, _206446, _206448] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_206442, tc_HOL_Obool), _206444, _206446), c_Orderings_Oord__class_Oless__eq(tc_fun(_206442, tc_HOL_Obool), _206444, _206448), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_206442, tc_HOL_Obool), _206444, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_206442, tc_HOL_Obool), _206446, _206448)))], (4897 ^ _82980) ^ [_206841, _206843, _206845, _206847, _206849] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_206841, tc_HOL_Obool), _206843, _206845), c_Orderings_Oord__class_Oless__eq(tc_fun(_206841, tc_HOL_Obool), _206847, _206849), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_206841, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_206841, tc_HOL_Obool), _206843, _206847), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_206841, tc_HOL_Obool), _206845, _206849)))], (4907 ^ _82980) ^ [_207250, _207252, _207254, _207256] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_207250, _207252), tc_HOL_Obool), _207254, _207256), c_Relation_Osingle__valued(_207250, _207252, _207256), -(c_Relation_Osingle__valued(_207250, _207252, _207254))], (4917 ^ _82980) ^ [_207601, _207603, _207605] : [c_Wellfounded_Oacyclic(_207601, _207603), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_207601, _207601), tc_HOL_Obool), _207605, _207603), -(c_Wellfounded_Oacyclic(_207601, _207605))], (4927 ^ _82980) ^ [_207938, _207940, _207942] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_207938, _207938), tc_HOL_Obool), _207940, _207942), c_Relation_Oantisym(_207938, _207942), -(c_Relation_Oantisym(_207938, _207940))], (4937 ^ _82980) ^ [_208289, _208291, _208293, _208295] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_208289, tc_HOL_Obool), _208291, _208293), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_208289, tc_HOL_Obool), c_Set_Oinsert(_208289, _208295, _208291), c_Set_Oinsert(_208289, _208295, _208293)))], (4943 ^ _82980) ^ [_208571, _208573, _208575, _208577] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_208571, tc_HOL_Obool), _208573, _208575), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_208571, tc_HOL_Obool), _208573, c_Set_Oinsert(_208571, _208577, _208575)))], (4949 ^ _82980) ^ [_208816, _208818, _208820] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_208816, tc_HOL_Obool), _208818, c_Set_Oinsert(_208816, _208820, _208818)))], (4951 ^ _82980) ^ [_208949, _208951, _208953] : [c_Wellfounded_OwfP(_208949, _208951), c_Orderings_Oord__class_Oless__eq(tc_fun(_208949, tc_fun(_208949, tc_HOL_Obool)), _208953, _208951), -(c_Wellfounded_OwfP(_208949, _208953))], (4961 ^ _82980) ^ [_209300, _209302, _209304, _209306] : [-(hBOOL(hAPP(hAPP(c_member(_209300), _209302), _209304))), 4964 ^ _82980 : [(4965 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_209300, tc_HOL_Obool), _209304, c_Set_Oinsert(_209300, _209302, _209306)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_209300, tc_HOL_Obool), _209304, _209306))], (4971 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_209300, tc_HOL_Obool), _209304, _209306), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_209300, tc_HOL_Obool), _209304, c_Set_Oinsert(_209300, _209302, _209306)))]]], (4977 ^ _82980) ^ [_209902, _209904, _209906, _209908] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_209902, tc_HOL_Obool), c_Set_Oinsert(_209902, _209904, _209906), _209908), 4980 ^ _82980 : [(4981 ^ _82980) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_209902), _209904), _209908)))], (4983 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_209902, tc_HOL_Obool), _209906, _209908))]]], (4985 ^ _82980) ^ [_210193, _210195, _210197, _210199] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_210193, tc_HOL_Obool), c_Set_Oinsert(_210193, _210195, _210197), _210199)), hBOOL(hAPP(hAPP(c_member(_210193), _210195), _210199)), c_Orderings_Oord__class_Oless__eq(tc_fun(_210193, tc_HOL_Obool), _210197, _210199)], (4995 ^ _82980) ^ [_210580, _210582, _210584, _210586] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_210580, _210580)), _210582), c_Transitive__Closure_Otrancl(_210580, _210584))), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_210580, _210580), tc_HOL_Obool), _210584, _210586), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_210580, _210580)), _210582), c_Transitive__Closure_Otrancl(_210580, _210586))))], (5005 ^ _82980) ^ [_211007, _211009, _211011, _211013, _211015] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_211007, _211009)), _211011), c_FuncSet_Oextensional(_211007, _211009, _211013))), c_Orderings_Oord__class_Oless__eq(tc_fun(_211007, tc_HOL_Obool), _211013, _211015), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_211007, _211009)), _211011), c_FuncSet_Oextensional(_211007, _211009, _211015))))], (5015 ^ _82980) ^ [_211413, _211415, _211417, _211419] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_211413, tc_HOL_Obool), c_Relation_ODomain(_211413, _211415, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_211413, _211415), tc_HOL_Obool), _211417, _211419)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_211413, tc_HOL_Obool), c_Relation_ODomain(_211413, _211415, _211417), c_Relation_ODomain(_211413, _211415, _211419))))], (5017 ^ _82980) ^ [_211572, _211574, _211576, _211578] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_211572, tc_HOL_Obool), c_Relation_ORange(_211574, _211572, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_211574, _211572), tc_HOL_Obool), _211576, _211578)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_211572, tc_HOL_Obool), c_Relation_ORange(_211574, _211572, _211576), c_Relation_ORange(_211574, _211572, _211578))))], (5019 ^ _82980) ^ [_211746, _211748, _211750, _211752] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _211746), _211748)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _211750), _211746)), c_FunDef_Opair__less)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _211752), _211748)), c_FunDef_Omax__strict)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _211750, _211752)), _211748)), c_FunDef_Omax__strict)))], (5033 ^ _82980) ^ [_212246, _212248] : [class_Orderings_Opreorder(_212246), -(c_Orderings_Oord__class_Oless__eq(_212246, _212248, _212248))], (5039 ^ _82980) ^ [] : [-(c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omin__strict), c_FunDef_Omin__weak)))], (5041 ^ _82980) ^ [_212523, _212525, _212527] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_212523, tc_HOL_Obool), _212525, _212527), c_Orderings_Oord__class_Oless__eq(tc_fun(_212523, tc_HOL_Obool), _212527, _212525), -(_212525 = _212527)], (5051 ^ _82980) ^ [] : [-(c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omax__strict), c_FunDef_Omax__weak)))], (5053 ^ _82980) ^ [_212957, _212959, _212961, _212963, _212965, _212967] : [hBOOL(hAPP(hAPP(_212957, _212959), _212961)), c_Orderings_Oord__class_Oless__eq(tc_fun(_212963, tc_fun(_212965, tc_HOL_Obool)), _212957, _212967), -(hBOOL(hAPP(hAPP(_212967, _212959), _212961)))], (5063 ^ _82980) ^ [_213386, _213388, _213390, _213392, _213394, _213396] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_213386, tc_fun(_213388, tc_HOL_Obool)), _213390, _213392), hBOOL(hAPP(hAPP(_213390, _213394), _213396)), -(hBOOL(hAPP(hAPP(_213392, _213394), _213396)))], (5073 ^ _82980) ^ [_213787, _213789, _213791, _213793] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_213787, tc_HOL_Obool), _213789, _213791), hBOOL(hAPP(_213789, _213793)), -(hBOOL(hAPP(_213791, _213793)))], (5083 ^ _82980) ^ [_214150, _214152, _214154, _214156] : [hBOOL(hAPP(_214150, _214152)), c_Orderings_Oord__class_Oless__eq(tc_fun(_214154, tc_HOL_Obool), _214150, _214156), -(hBOOL(hAPP(_214156, _214152)))], (5093 ^ _82980) ^ [_214499, _214501, _214503] : [_214499 = _214501, 5096 ^ _82980 : [(5097 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_214503, tc_HOL_Obool), _214499, _214501))], (5099 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_214503, tc_HOL_Obool), _214501, _214499))]]], (5101 ^ _82980) ^ [_214840, _214842, _214844, _214846] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_214840, tc_HOL_Obool), _214842, _214844), c_Orderings_Oord__class_Oless__eq(tc_fun(_214840, tc_HOL_Obool), _214844, _214846), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_214840, tc_HOL_Obool), _214842, _214846))], (5111 ^ _82980) ^ [_215197, _215199, _215201] : [_215197 = _215199, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_215201, tc_HOL_Obool), _215199, _215197))], (5117 ^ _82980) ^ [_215435, _215437, _215439] : [_215435 = _215437, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_215439, tc_HOL_Obool), _215435, _215437))], (5123 ^ _82980) ^ [_215702, _215704, _215706] : [_215702 = _215704, 5126 ^ _82980 : [(5127 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_215706, tc_HOL_Obool), _215702, _215704))], (5129 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_215706, tc_HOL_Obool), _215704, _215702))]]], (5131 ^ _82980) ^ [_215963, _215965, _215967] : [-(_215963 = _215965), c_Orderings_Oord__class_Oless__eq(tc_fun(_215967, tc_HOL_Obool), _215963, _215965), c_Orderings_Oord__class_Oless__eq(tc_fun(_215967, tc_HOL_Obool), _215965, _215963)], (5141 ^ _82980) ^ [_216275, _216277] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_216275, tc_HOL_Obool), _216277, _216277))], (5143 ^ _82980) ^ [_216416, _216418, _216420, _216422] : [class_Orderings_Oord(_216416), 5146 ^ _82980 : [(5147 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_216418, _216416), _216420, _216422), 5150 ^ _82980 : [(5151 ^ _82980) ^ [_216675] : [-(c_Orderings_Oord__class_Oless__eq(_216416, hAPP(_216420, _216675), hAPP(_216422, _216675)))]]], (5153 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(_216416, hAPP(_216420, 5154 ^ [_216416, _216418, _216420, _216422]), hAPP(_216422, 5154 ^ [_216416, _216418, _216420, _216422])), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_216418, _216416), _216420, _216422))]]], (5160 ^ _82980) ^ [_217057, _217059, _217061] : [class_Orderings_Olinorder(_217057), -(c_Orderings_Oord__class_Oless__eq(_217057, _217059, _217061)), -(c_Orderings_Oord__class_Oless__eq(_217057, _217061, _217059))], (5170 ^ _82980) ^ [_217383, _217385, _217387] : [class_Orderings_Oorder(_217383), 5173 ^ _82980 : [(5174 ^ _82980) ^ [] : [_217385 = _217387, 5177 ^ _82980 : [(5178 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_217383, _217385, _217387))], (5180 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_217383, _217387, _217385))]]], (5182 ^ _82980) ^ [] : [-(_217385 = _217387), c_Orderings_Oord__class_Oless__eq(_217383, _217385, _217387), c_Orderings_Oord__class_Oless__eq(_217383, _217387, _217385)]]], (5192 ^ _82980) ^ [_218041, _218043, _218045] : [class_Orderings_Opreorder(_218041), _218043 = _218045, -(c_Orderings_Oord__class_Oless__eq(_218041, _218043, _218045))], (5202 ^ _82980) ^ [_218392, _218394, _218396, _218398, _218400] : [class_Orderings_Oord(_218392), c_Orderings_Oord__class_Oless__eq(tc_fun(_218394, _218392), _218396, _218398), -(c_Orderings_Oord__class_Oless__eq(_218392, hAPP(_218396, _218400), hAPP(_218398, _218400)))], (5212 ^ _82980) ^ [_218755, _218757, _218759] : [class_Orderings_Oorder(_218755), c_Orderings_Oord__class_Oless__eq(_218755, _218757, _218759), 5219 ^ _82980 : [(5220 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(_218755, _218759, _218757), -(_218759 = _218757)], (5226 ^ _82980) ^ [] : [_218759 = _218757, -(c_Orderings_Oord__class_Oless__eq(_218755, _218759, _218757))]]], (5232 ^ _82980) ^ [_219355, _219357, _219359, _219361] : [class_Orderings_Oord(_219355), _219357 = _219359, c_Orderings_Oord__class_Oless__eq(_219355, _219359, _219361), -(c_Orderings_Oord__class_Oless__eq(_219355, _219357, _219361))], (5246 ^ _82980) ^ [_219801, _219803, _219805, _219807] : [class_Orderings_Oorder(_219801), _219803 = _219805, c_Orderings_Oord__class_Oless__eq(_219801, _219807, _219805), -(c_Orderings_Oord__class_Oless__eq(_219801, _219807, _219803))], (5260 ^ _82980) ^ [_220247, _220249, _220251, _220253] : [class_Orderings_Oord(_220247), c_Orderings_Oord__class_Oless__eq(_220247, _220249, _220251), _220251 = _220253, -(c_Orderings_Oord__class_Oless__eq(_220247, _220249, _220253))], (5274 ^ _82980) ^ [_220693, _220695, _220697, _220699] : [class_Orderings_Oorder(_220693), c_Orderings_Oord__class_Oless__eq(_220693, _220695, _220697), _220695 = _220699, -(c_Orderings_Oord__class_Oless__eq(_220693, _220699, _220697))], (5288 ^ _82980) ^ [_221125, _221127, _221129] : [class_Orderings_Oorder(_221125), c_Orderings_Oord__class_Oless__eq(_221125, _221127, _221129), c_Orderings_Oord__class_Oless__eq(_221125, _221129, _221127), -(_221127 = _221129)], (5302 ^ _82980) ^ [_221557, _221559, _221561, _221563] : [class_Orderings_Opreorder(_221557), c_Orderings_Oord__class_Oless__eq(_221557, _221559, _221561), c_Orderings_Oord__class_Oless__eq(_221557, _221561, _221563), -(c_Orderings_Oord__class_Oless__eq(_221557, _221559, _221563))], (5316 ^ _82980) ^ [_221991, _221993, _221995] : [class_Orderings_Oorder(_221991), c_Orderings_Oord__class_Oless__eq(_221991, _221993, _221995), c_Orderings_Oord__class_Oless__eq(_221991, _221995, _221993), -(_221995 = _221993)], (5330 ^ _82980) ^ [_222423, _222425, _222427, _222429] : [class_Orderings_Oorder(_222423), c_Orderings_Oord__class_Oless__eq(_222423, _222425, _222427), c_Orderings_Oord__class_Oless__eq(_222423, _222429, _222425), -(c_Orderings_Oord__class_Oless__eq(_222423, _222429, _222427))], (5344 ^ _82980) ^ [_222885, _222887, _222889, _222891, _222893] : [class_Orderings_Oord(_222885), c_Orderings_Oord__class_Oless__eq(tc_fun(_222887, _222885), _222889, _222891), -(c_Orderings_Oord__class_Oless__eq(_222885, hAPP(_222889, _222893), hAPP(_222891, _222893)))], (5354 ^ _82980) ^ [_223248, _223250, _223252] : [class_Orderings_Olinorder(_223248), -(c_Orderings_Oord__class_Oless__eq(_223248, _223250, _223252)), -(c_Orderings_Oord__class_Oless__eq(_223248, _223252, _223250))], (5364 ^ _82980) ^ [_223562, _223564] : [class_Orderings_Opreorder(_223562), c_Orderings_Oord__class_Oless(_223562, _223564, _223564)], (5370 ^ _82980) ^ [_223787, _223789, _223791] : [class_Orderings_Olinorder(_223787), 5373 ^ _82980 : [(5384 ^ _82980) ^ [] : [5385 ^ _82980 : [(5386 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(_223787, _223789, _223791)], (5388 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(_223787, _223791, _223789)]], _223789 = _223791], (5374 ^ _82980) ^ [] : [-(_223789 = _223791), -(c_Orderings_Oord__class_Oless(_223787, _223789, _223791)), -(c_Orderings_Oord__class_Oless(_223787, _223791, _223789))]]], (5392 ^ _82980) ^ [_224447, _224449, _224451] : [class_Orderings_Olinorder(_224447), 5395 ^ _82980 : [(5406 ^ _82980) ^ [] : [5407 ^ _82980 : [(5408 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(_224447, _224451, _224449)], (5410 ^ _82980) ^ [] : [_224449 = _224451]], c_Orderings_Oord__class_Oless(_224447, _224449, _224451)], (5396 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless(_224447, _224449, _224451)), -(c_Orderings_Oord__class_Oless(_224447, _224451, _224449)), -(_224449 = _224451)]]], (5414 ^ _82980) ^ [_225107, _225109, _225111] : [class_Orderings_Olinorder(_225107), -(c_Orderings_Oord__class_Oless(_225107, _225109, _225111)), -(_225109 = _225111), -(c_Orderings_Oord__class_Oless(_225107, _225111, _225109))], (5428 ^ _82980) ^ [_225527, _225529, _225531] : [class_Orderings_Olinorder(_225527), -(c_Orderings_Oord__class_Oless(_225527, _225529, _225531)), 5435 ^ _82980 : [(5436 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless(_225527, _225531, _225529)), -(_225531 = _225529)], (5442 ^ _82980) ^ [] : [_225531 = _225529, c_Orderings_Oord__class_Oless(_225527, _225531, _225529)]]], (5448 ^ _82980) ^ [_226118, _226120, _226122] : [class_Orderings_Olinorder(_226118), -(_226120 = _226122), -(c_Orderings_Oord__class_Oless(_226118, _226120, _226122)), -(c_Orderings_Oord__class_Oless(_226118, _226122, _226120))], (5462 ^ _82980) ^ [_226542, _226544, _226546] : [class_Orderings_Oorder(_226542), c_Orderings_Oord__class_Oless(_226542, _226544, _226546), _226544 = _226546], (5472 ^ _82980) ^ [_226866, _226868, _226870] : [class_Orderings_Opreorder(_226866), c_Orderings_Oord__class_Oless(_226866, _226868, _226870), c_Orderings_Oord__class_Oless(_226866, _226870, _226868)], (5482 ^ _82980) ^ [_227192, _227194, _227196] : [class_Orderings_Opreorder(_227192), c_Orderings_Oord__class_Oless(_227192, _227194, _227196), c_Orderings_Oord__class_Oless(_227192, _227196, _227194)], (5492 ^ _82980) ^ [_227518, _227520, _227522] : [class_Orderings_Oorder(_227518), c_Orderings_Oord__class_Oless(_227518, _227520, _227522), _227520 = _227522], (5502 ^ _82980) ^ [_227842, _227844, _227846] : [class_Orderings_Oorder(_227842), c_Orderings_Oord__class_Oless(_227842, _227844, _227846), _227846 = _227844], (5512 ^ _82980) ^ [_228166, _228168, _228170] : [class_Orderings_Opreorder(_228166), c_Orderings_Oord__class_Oless(_228166, _228168, _228170), c_Orderings_Oord__class_Oless(_228166, _228170, _228168)], (5522 ^ _82980) ^ [_228492, _228494, _228496] : [class_Orderings_Oorder(_228492), c_Orderings_Oord__class_Oless(_228492, _228494, _228496), c_Orderings_Oord__class_Oless(_228492, _228496, _228494)], (5532 ^ _82980) ^ [_228832, _228834, _228836, _228838] : [class_Orderings_Oord(_228832), _228834 = _228836, c_Orderings_Oord__class_Oless(_228832, _228836, _228838), -(c_Orderings_Oord__class_Oless(_228832, _228834, _228838))], (5546 ^ _82980) ^ [_229278, _229280, _229282, _229284] : [class_Orderings_Oorder(_229278), _229280 = _229282, c_Orderings_Oord__class_Oless(_229278, _229284, _229282), -(c_Orderings_Oord__class_Oless(_229278, _229284, _229280))], (5560 ^ _82980) ^ [_229724, _229726, _229728, _229730] : [class_Orderings_Oord(_229724), c_Orderings_Oord__class_Oless(_229724, _229726, _229728), _229728 = _229730, -(c_Orderings_Oord__class_Oless(_229724, _229726, _229730))], (5574 ^ _82980) ^ [_230170, _230172, _230174, _230176] : [class_Orderings_Oorder(_230170), c_Orderings_Oord__class_Oless(_230170, _230172, _230174), _230172 = _230176, -(c_Orderings_Oord__class_Oless(_230170, _230176, _230174))], (5588 ^ _82980) ^ [_230616, _230618, _230620, _230622] : [class_Orderings_Opreorder(_230616), c_Orderings_Oord__class_Oless(_230616, _230618, _230620), c_Orderings_Oord__class_Oless(_230616, _230620, _230622), -(c_Orderings_Oord__class_Oless(_230616, _230618, _230622))], (5602 ^ _82980) ^ [_231064, _231066, _231068, _231070] : [class_Orderings_Oorder(_231064), c_Orderings_Oord__class_Oless(_231064, _231066, _231068), c_Orderings_Oord__class_Oless(_231064, _231070, _231066), -(c_Orderings_Oord__class_Oless(_231064, _231070, _231068))], (5616 ^ _82980) ^ [_231498, _231500, _231502] : [class_Orderings_Opreorder(_231498), c_Orderings_Oord__class_Oless(_231498, _231500, _231502), c_Orderings_Oord__class_Oless(_231498, _231502, _231500)], (5626 ^ _82980) ^ [_231824, _231826, _231828] : [class_Orderings_Olinorder(_231824), -(c_Orderings_Oord__class_Oless(_231824, _231826, _231828)), -(_231826 = _231828), -(c_Orderings_Oord__class_Oless(_231824, _231828, _231826))], (5640 ^ _82980) ^ [_232262, _232264, _232266, _232268] : [class_Orderings_Oord(_232262), 5643 ^ _82980 : [(5644 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(tc_fun(_232264, _232262), _232266, _232268), 5647 ^ _82980 : [(5648 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_232264, _232262), _232266, _232268))], (5650 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_232264, _232262), _232268, _232266)]]], (5652 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_fun(_232264, _232262), _232266, _232268)), c_Orderings_Oord__class_Oless__eq(tc_fun(_232264, _232262), _232266, _232268), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_232264, _232262), _232268, _232266))]]], (5662 ^ _82980) ^ [_232974, _232976, _232978] : [class_Orderings_Olinorder(_232974), 5665 ^ _82980 : [(5666 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless(_232974, _232976, _232978)), -(c_Orderings_Oord__class_Oless__eq(_232974, _232978, _232976))], (5672 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(_232974, _232978, _232976), c_Orderings_Oord__class_Oless(_232974, _232976, _232978)]]], (5678 ^ _82980) ^ [_233470, _233472, _233474] : [class_Orderings_Olinorder(_233470), 5681 ^ _82980 : [(5682 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_233470, _233472, _233474)), -(c_Orderings_Oord__class_Oless(_233470, _233474, _233472))], (5688 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(_233470, _233474, _233472), c_Orderings_Oord__class_Oless__eq(_233470, _233472, _233474)]]], (5694 ^ _82980) ^ [_233966, _233968, _233970] : [class_Orderings_Olinorder(_233966), -(c_Orderings_Oord__class_Oless__eq(_233966, _233968, _233970)), -(c_Orderings_Oord__class_Oless(_233966, _233970, _233968))], (5704 ^ _82980) ^ [_234292, _234294, _234296] : [class_Orderings_Oorder(_234292), 5707 ^ _82980 : [(5708 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(_234292, _234294, _234296), 5711 ^ _82980 : [(5712 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_234292, _234294, _234296))], (5714 ^ _82980) ^ [] : [_234294 = _234296]]], (5716 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless(_234292, _234294, _234296)), c_Orderings_Oord__class_Oless__eq(_234292, _234294, _234296), -(_234294 = _234296)]]], (5726 ^ _82980) ^ [_234952, _234954, _234956] : [class_Orderings_Opreorder(_234952), 5729 ^ _82980 : [(5730 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(_234952, _234954, _234956), 5733 ^ _82980 : [(5734 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_234952, _234954, _234956))], (5736 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(_234952, _234956, _234954)]]], (5738 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless(_234952, _234954, _234956)), c_Orderings_Oord__class_Oless__eq(_234952, _234954, _234956), -(c_Orderings_Oord__class_Oless__eq(_234952, _234956, _234954))]]], (5748 ^ _82980) ^ [_235615, _235617, _235619] : [class_Orderings_Oorder(_235615), 5751 ^ _82980 : [(5762 ^ _82980) ^ [] : [5763 ^ _82980 : [(5764 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(_235615, _235617, _235619)], (5766 ^ _82980) ^ [] : [_235617 = _235619]], -(c_Orderings_Oord__class_Oless__eq(_235615, _235617, _235619))], (5752 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(_235615, _235617, _235619), -(c_Orderings_Oord__class_Oless(_235615, _235617, _235619)), -(_235617 = _235619)]]], (5770 ^ _82980) ^ [_236273, _236275, _236277] : [class_Orderings_Olinorder(_236273), -(c_Orderings_Oord__class_Oless(_236273, _236275, _236277)), -(c_Orderings_Oord__class_Oless__eq(_236273, _236277, _236275))], (5780 ^ _82980) ^ [_236601, _236603, _236605] : [class_Orderings_Olinorder(_236601), -(c_Orderings_Oord__class_Oless__eq(_236601, _236603, _236605)), -(c_Orderings_Oord__class_Oless(_236601, _236605, _236603))], (5790 ^ _82980) ^ [_236929, _236931, _236933] : [class_Orderings_Olinorder(_236929), -(c_Orderings_Oord__class_Oless(_236929, _236931, _236933)), 5797 ^ _82980 : [(5798 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless__eq(_236929, _236931, _236933), -(_236931 = _236933)], (5804 ^ _82980) ^ [] : [_236931 = _236933, -(c_Orderings_Oord__class_Oless__eq(_236929, _236931, _236933))]]], (5810 ^ _82980) ^ [_237518, _237520, _237522] : [class_Orderings_Oorder(_237518), -(_237520 = _237522), c_Orderings_Oord__class_Oless__eq(_237518, _237520, _237522), -(c_Orderings_Oord__class_Oless(_237518, _237520, _237522))], (5824 ^ _82980) ^ [_237939, _237941, _237943] : [class_Orderings_Oorder(_237939), -(_237941 = _237943), c_Orderings_Oord__class_Oless__eq(_237939, _237943, _237941), -(c_Orderings_Oord__class_Oless(_237939, _237943, _237941))], (5838 ^ _82980) ^ [_238360, _238362, _238364] : [class_Orderings_Olinorder(_238360), c_Orderings_Oord__class_Oless__eq(_238360, _238362, _238364), c_Orderings_Oord__class_Oless(_238360, _238364, _238362)], (5848 ^ _82980) ^ [_238686, _238688, _238690] : [class_Orderings_Opreorder(_238686), c_Orderings_Oord__class_Oless(_238686, _238688, _238690), -(c_Orderings_Oord__class_Oless__eq(_238686, _238688, _238690))], (5858 ^ _82980) ^ [_239011, _239013, _239015] : [class_Orderings_Olinorder(_239011), c_Orderings_Oord__class_Oless__eq(_239011, _239013, _239015), 5865 ^ _82980 : [(5866 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless(_239011, _239013, _239015)), -(_239013 = _239015)], (5872 ^ _82980) ^ [] : [_239013 = _239015, c_Orderings_Oord__class_Oless(_239011, _239013, _239015)]]], (5878 ^ _82980) ^ [_239599, _239601, _239603] : [class_Orderings_Oorder(_239599), c_Orderings_Oord__class_Oless__eq(_239599, _239601, _239603), -(c_Orderings_Oord__class_Oless(_239599, _239601, _239603)), -(_239601 = _239603)], (5892 ^ _82980) ^ [_240018, _240020, _240022] : [class_Orderings_Oorder(_240018), c_Orderings_Oord__class_Oless__eq(_240018, _240020, _240022), -(_240020 = _240022), -(c_Orderings_Oord__class_Oless(_240018, _240020, _240022))], (5906 ^ _82980) ^ [_240439, _240441, _240443] : [class_Orderings_Oorder(_240439), c_Orderings_Oord__class_Oless__eq(_240439, _240441, _240443), -(_240443 = _240441), -(c_Orderings_Oord__class_Oless(_240439, _240441, _240443))], (5920 ^ _82980) ^ [_240874, _240876, _240878, _240880] : [class_Orderings_Opreorder(_240874), c_Orderings_Oord__class_Oless(_240874, _240876, _240878), c_Orderings_Oord__class_Oless__eq(_240874, _240878, _240880), -(c_Orderings_Oord__class_Oless(_240874, 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[-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _242667, _242669))], (5982 ^ _82980) ^ [] : [_242667 = _242669]]], (5984 ^ _82980) ^ [_242909, _242911] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _242909, _242911)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _242909, _242911), -(_242909 = _242911)], (6004 ^ _82980) ^ [_243502, _243504] : [6005 ^ _82980 : [(6006 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _243502, _243504)], (6008 ^ _82980) ^ [] : [_243502 = _243504]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _243502, _243504))], (5994 ^ _82980) ^ [_243246, _243248] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _243246, _243248), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _243246, _243248)), -(_243246 = _243248)], (6012 ^ _82980) ^ [_243806, _243808, _243810] : [6013 ^ _82980 : [(6014 ^ _82980) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _243806, _243808))], (6016 ^ _82980) ^ [] : [hBOOL(hAPP(hAPP(_243810, _243808), _243806))]], 6019 ^ 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[c_Orderings_Oord__class_Oless(tc_Nat_Onat, _245584, _245586)], (6070 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _245586, _245584)]], _245584 = _245586], (6056 ^ _82980) ^ [_245325, _245327] : [-(_245325 = _245327), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _245325, _245327)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _245327, _245325))], (6074 ^ _82980) ^ [_245845] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _245845, _245845)], (6076 ^ _82980) ^ [_245953, _245955] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _245953, _245955), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _245955, _245953), -(_245953 = _245955)], (6086 ^ _82980) ^ [_246270, _246272, _246274] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _246270, _246272), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _246272, _246274), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _246270, _246274))], (6096 ^ _82980) ^ [_246585, _246587] : [_246585 = _246587, -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _246585, _246587))], (6102 ^ _82980) ^ [_246797, _246799] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _246797, _246799)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _246799, _246797))], (6108 ^ _82980) ^ [_246983] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _246983, _246983))], (6110 ^ _82980) ^ [_247091, _247093] : [6111 ^ _82980 : [(6112 ^ _82980) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _247091, _247093)], (6114 ^ _82980) ^ [] : [_247091 = _247093]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _247091, _247093))], (6118 ^ _82980) ^ [_247379, _247381] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _247379, _247381), -(_247379 = _247381), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _247379, _247381))], (6128 ^ _82980) ^ [_247685, _247687] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _247685, _247687), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _247685, _247687))], (6134 ^ _82980) ^ [] : [-(c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less))], (6136 ^ _82980) ^ [_247980, _247982, _247984, _247986] : [c_FunDef_Oreduction__pair(_247980, _247982), -(c_FunDef_Oreduction__pair(_247984, hAPP(hAPP(c_FunDef_Orp__inv__image(_247980, _247984), _247982), _247986)))], (6142 ^ _82980) ^ [_248220, _248222] : [c_Wellfounded_Owf(_248220, _248222), -(c_Wellfounded_Owf(tc_fun(_248220, tc_HOL_Obool), c_Wellfounded_Omin__ext(_248220, _248222)))], (6148 ^ _82980) ^ [_248456, _248458, _248460] : [c_Wellfounded_Owf(_248456, _248458), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_248456, _248456), tc_HOL_Obool), c_Relation_Orel__comp(_248456, _248456, _248456, _248458, _248460), _248458), -(c_FunDef_Oreduction__pair(_248456, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_248456, _248456), tc_HOL_Obool), tc_fun(tc_prod(_248456, _248456), tc_HOL_Obool)), _248458), _248460)))], (6158 ^ _82980) ^ [_248818, _248820] : 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tc_fun(tc_fun(tc_fun(tc_prod(_248818, _248818), tc_HOL_Obool), tc_fun(tc_fun(_248820, _248818), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_248818, _248818), tc_HOL_Obool), tc_fun(tc_fun(_248820, _248818), tc_prod(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool))))), tc_fun(tc_prod(_248818, _248818), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_248820, _248818), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool)), tc_fun(tc_fun(_248820, _248818), tc_prod(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool))), tc_fun(tc_prod(_248818, _248818), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_248820, _248818), tc_fun(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_248820, _248818), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool)), tc_fun(tc_fun(_248820, _248818), tc_prod(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool)))), tc_fun(tc_prod(_248818, _248818), tc_HOL_Obool)), c_COMBS(tc_fun(_248820, _248818), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_248820, _248818), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool)), tc_fun(tc_fun(_248820, _248818), tc_fun(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool)))), tc_fun(tc_prod(_248818, _248818), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool))), tc_fun(_248820, _248818)), c_Product__Type_OPair(tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool), tc_fun(tc_prod(_248820, _248820), tc_HOL_Obool)))), c_Relation_Oinv__image(_248818, _248820))))), c_Relation_Oinv__image(_248818, _248820))))], (6160 ^ _82980) ^ [_249497, _249499, _249501, _249503, _249505, _249507, _249509, _249511] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_249497, _249499)), hAPP(hAPP(c_Product__Type_OPair(_249497, _249499), _249501), _249503)), _249505)), hBOOL(hAPP(hAPP(c_member(tc_prod(_249499, _249507)), hAPP(hAPP(c_Product__Type_OPair(_249499, _249507), _249503), _249509)), _249511)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_249497, _249507)), hAPP(hAPP(c_Product__Type_OPair(_249497, _249507), _249501), _249509)), c_Relation_Orel__comp(_249497, _249499, _249507, _249505, _249511))))], (6170 ^ _82980) ^ [_249995, _249997, _249999, _250001] : [-(c_Product__Type_Oprod_Oprod__case(_249995, _249997, _249999, hAPP(hAPP(c_COMBB(tc_fun(_249997, tc_prod(_249995, _249997)), tc_fun(_249997, _249999), _249995), hAPP(c_COMBB(tc_prod(_249995, _249997), _249999, _249997), _250001)), c_Product__Type_OPair(_249995, _249997))) = _250001)], (6172 ^ _82980) ^ [_250186, _250188, _250190, _250192, _250194, _250196] : [-(hAPP(c_Product__Type_Oprod_Oprod__case(_250186, _250188, _250190, _250192), hAPP(hAPP(c_Product__Type_OPair(_250186, _250188), _250194), _250196)) = hAPP(hAPP(_250192, _250194), _250196))], (6174 ^ _82980) ^ [_250367, _250369, _250371, _250373, _250375, _250377] : [-(hAPP(c_Product__Type_Oprod_Oprod__case(_250367, _250369, _250371, _250373), hAPP(hAPP(c_Product__Type_OPair(_250367, _250369), _250375), _250377)) = hAPP(hAPP(_250373, _250375), _250377))], (6176 ^ _82980) ^ [_250492, _250494] : [-(c_Transitive__Closure_Otrancl(_250492, _250494) = c_Relation_Orel__comp(_250492, _250492, _250492, c_Transitive__Closure_Ortrancl(_250492, _250494), _250494))], (6178 ^ _82980) ^ [_250598, _250600] : [-(c_Transitive__Closure_Otrancl(_250598, _250600) = c_Relation_Orel__comp(_250598, _250598, _250598, _250600, c_Transitive__Closure_Ortrancl(_250598, _250600)))], (6180 ^ _82980) ^ [_250704, _250706] : [-(c_Relation_Orel__comp(_250704, _250704, _250704, _250706, c_Transitive__Closure_Ortrancl(_250704, _250706)) = c_Relation_Orel__comp(_250704, _250704, _250704, c_Transitive__Closure_Ortrancl(_250704, _250706), _250706))], (6182 ^ _82980) ^ [_250816, _250818] : [-(c_Relation_Orel__comp(_250816, _250816, _250816, c_Transitive__Closure_Ortrancl(_250816, _250818), c_Transitive__Closure_Ortrancl(_250816, _250818)) = c_Transitive__Closure_Ortrancl(_250816, _250818))], (6184 ^ _82980) ^ [_250982, _250984, _250986, _250988, _250990] : [c_Relation_Osingle__valued(_250982, _250984, _250986), c_Relation_Osingle__valued(_250984, _250988, _250990), -(c_Relation_Osingle__valued(_250982, _250988, c_Relation_Orel__comp(_250982, _250984, _250988, _250986, _250990)))], (6194 ^ _82980) ^ [_251385, _251387, _251389, _251391, _251393, _251395] : [_251385 = _251387, -(hAPP(c_Product__Type_Oprod_Oprod__case(_251389, _251391, _251393, _251395), _251385) = hAPP(c_Product__Type_Oprod_Oprod__case(_251389, _251391, _251393, _251395), _251387))], (6200 ^ _82980) ^ [_251720, _251722, _251724, _251726, _251728, _251730, _251732, _251734] : [-(hAPP(c_Product__Type_Oprod_Oprod__case(_251720, _251722, _251724, _251726), hAPP(c_Product__Type_Oprod_Oprod__case(_251728, _251730, tc_prod(_251720, _251722), _251732), _251734)) = hAPP(c_Product__Type_Oprod_Oprod__case(_251728, _251730, _251724, hAPP(hAPP(c_COMBB(tc_fun(_251730, tc_prod(_251720, _251722)), tc_fun(_251730, _251724), _251728), hAPP(c_COMBB(tc_prod(_251720, _251722), _251724, _251730), c_Product__Type_Oprod_Oprod__case(_251720, _251722, _251724, _251726))), _251732)), _251734))], (6202 ^ _82980) ^ [_251957, _251959, _251961, _251963, _251965, _251967, _251969] : [-(c_Relation_Orel__comp(_251957, _251959, _251961, c_Relation_Orel__comp(_251957, _251963, _251959, _251965, _251967), _251969) = c_Relation_Orel__comp(_251957, _251963, _251961, _251965, c_Relation_Orel__comp(_251963, _251959, _251961, _251967, _251969)))], (6204 ^ _82980) ^ [_252113, _252115, _252117, _252119] : [-(c_Product__Type_Oprod_Oprod__case(_252113, _252115, _252117, c_Product__Type_Ocurry(_252113, _252115, _252117, _252119)) = _252119)], (6206 ^ _82980) ^ [_252249, _252251, _252253, _252255] : [-(c_Product__Type_Ocurry(_252249, _252251, _252253, c_Product__Type_Oprod_Oprod__case(_252249, _252251, _252253, _252255)) = _252255)], (6208 ^ _82980) ^ [_252401, _252403] : [c_Wellfounded_Owf(_252401, _252403), -(c_Wellfounded_Owf(_252401, c_Relation_Orel__comp(_252401, _252401, _252401, _252403, _252403)))], (6214 ^ _82980) ^ [_252575, _252577] : [c_Wellfounded_Owf(_252575, c_Relation_Orel__comp(_252575, _252575, _252575, _252577, _252577)), -(c_Wellfounded_Owf(_252575, _252577))], (6220 ^ _82980) ^ [_252799, _252801] : [class_Lattices_Olattice(_252799), -(class_Lattices_Osemilattice__inf(tc_fun(_252801, _252799)))], (6226 ^ _82980) ^ [_253011, _253013] : [class_Orderings_Opreorder(_253011), -(class_Orderings_Opreorder(tc_fun(_253013, _253011)))], (6232 ^ _82980) ^ [_253223, _253225] : [class_Lattices_Olattice(_253223), -(class_Lattices_Olattice(tc_fun(_253225, _253223)))], (6238 ^ _82980) ^ [_253435, _253437] : [class_Orderings_Oorder(_253435), -(class_Orderings_Oorder(tc_fun(_253437, _253435)))], (6244 ^ _82980) ^ [_253647, _253649] : [class_Orderings_Oord(_253647), -(class_Orderings_Oord(tc_fun(_253649, _253647)))], (6250 ^ _82980) ^ [] : [-(class_Lattices_Osemilattice__inf(tc_Nat_Onat))], (6252 ^ _82980) ^ [] : [-(class_Orderings_Opreorder(tc_Nat_Onat))], (6254 ^ _82980) ^ [] : [-(class_Orderings_Olinorder(tc_Nat_Onat))], (6256 ^ _82980) ^ [] : [-(class_Lattices_Olattice(tc_Nat_Onat))], (6258 ^ _82980) ^ [] : [-(class_Orderings_Oorder(tc_Nat_Onat))], (6260 ^ _82980) ^ [] : [-(class_Orderings_Oord(tc_Nat_Onat))], (6262 ^ _82980) ^ [] : [-(class_Lattices_Osemilattice__inf(tc_HOL_Obool))], (6264 ^ _82980) ^ [] : [-(class_Orderings_Opreorder(tc_HOL_Obool))], (6266 ^ _82980) ^ [] : [-(class_Lattices_Olattice(tc_HOL_Obool))], (6268 ^ _82980) ^ [] : [-(class_Orderings_Oorder(tc_HOL_Obool))], (6270 ^ _82980) ^ [] : [-(class_Orderings_Oord(tc_HOL_Obool))], (6272 ^ _82980) ^ [_254427, _254429] : [-(hAPP(c_COMBI(_254427), _254429) = _254429)], (6274 ^ _82980) ^ [_254554, _254556, _254558, _254560] : [-(hAPP(c_COMBK(_254554, _254556, _254558), _254560) = _254558)], (6276 ^ _82980) ^ [_254715, _254717, _254719, _254721, _254723, _254725] : [-(hAPP(hAPP(hAPP(c_COMBB(_254715, _254717, _254719), _254721), _254723), _254725) = hAPP(_254721, hAPP(_254723, _254725)))], (6278 ^ _82980) ^ [_254892, _254894, _254896, _254898, _254900, _254902] : [-(hAPP(hAPP(hAPP(c_COMBC(_254892, _254894, _254896), _254898), _254900), _254902) = hAPP(hAPP(_254898, _254902), _254900))], (6280 ^ _82980) ^ [_255069, _255071, _255073, _255075, _255077, _255079] : [-(hAPP(hAPP(hAPP(c_COMBS(_255069, _255071, _255073), _255075), _255077), _255079) = hAPP(hAPP(_255075, _255079), hAPP(_255077, _255079)))], (6282 ^ _82980) ^ [_255208, _255210] : [hBOOL(hAPP(hAPP(c_fequal, _255208), _255210)), -(_255208 = _255210)], (6288 ^ _82980) ^ [_255430, _255432] : [_255430 = _255432, -(hBOOL(hAPP(hAPP(c_fequal, _255430), _255432)))], (6294 ^ _82980) ^ [] : [hBOOL(c_fFalse)], (6296 ^ _82980) ^ [_255690] : [hBOOL(hAPP(c_fNot, _255690)), hBOOL(_255690)], (6302 ^ _82980) ^ [_255885] : [-(hBOOL(_255885)), -(hBOOL(hAPP(c_fNot, _255885)))], (6308 ^ _82980) ^ [_256096, _256098] : [hBOOL(_256096), hBOOL(_256098), -(hBOOL(hAPP(hAPP(c_fconj, _256096), _256098)))], (6318 ^ _82980) ^ [_256405, _256407] : [hBOOL(hAPP(hAPP(c_fconj, _256405), _256407)), -(hBOOL(_256405))], (6324 ^ _82980) ^ [_256605, _256607] : [hBOOL(hAPP(hAPP(c_fconj, _256605), _256607)), -(hBOOL(_256607))]], input).
% 1.47/2.42  ncf('1',plain,[6335 : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, 6329 ^ []))), 6339 : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 6329 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))],start(6331 ^ 0)).
% 1.47/2.42  ncf('1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, 6329 ^ [])))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 6329 ^ [])))],extension(1161 ^ 3,bind([[_101576], [6329 ^ []]]))).
% 1.47/2.42  ncf('1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 6329 ^ [])))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 6329 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))],extension(1149 ^ 4,bind([[_101268], [6329 ^ []]]))).
% 1.47/2.42  ncf('1.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 6329 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))))],extension(6333 ^ 5)).
% 1.47/2.42  ncf('1.2',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 6329 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 6329 ^ [])))],extension(1155 ^ 3,bind([[_101413], [6329 ^ []]]))).
% 1.47/2.42  ncf('1.2.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 6329 ^ [])))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, 6329 ^ [])))],extension(1167 ^ 4,bind([[_101667], [6329 ^ []]]))).
% 1.47/2.42  ncf('1.2.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, 6329 ^ []))))],extension(6337 ^ 5)).
% 1.47/2.42  %-----------------------------------------------------
% 1.47/2.42  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------